All ACT Math Resources
Example Questions
Example Question #2 : How To Graph An Ordered Pair
In which Quadrant is the point located?
Quadrant II
Quadrant I
Quadrant III
Quadrant IV
Quadrant I
To find out which quadrant a point lives in, we need to remember the qualities of each quadrant. By qualities, I mean the signs associated with the x and y values which are dependent on the quadrant the point resides in.
All coordinate pairs that are in Quadrant I will have a positive x value and a positive y value.
All coordinate pairs that are in Quadrant II will have a negative x value and a positive y value.
All coordinate pairs that are in Quadrant III will have a negative x value and a negative y value.
All coordinate pairs that are in Quadrant IV will have a positive x value and a negative y value.
For the point , we see that both the x and y coordinates are positive therefore, the point resides in Quadrant I. Another way to check, we can start from the origin and going right 4 units and up 3 units we will be in the upper-right section of the coordinate-plane, which is also known as Quadrant I.
Example Question #1 : Graphing
Which of the following coordinate pairs is farthest from the origin?
Using the distance formula, calculate the distance from each of these points to the origin, (0, 0). While each answer choice has coordinates that add up to seven, (-1, 8) is the coordinate pair that produces the largest distance, namely , or approximately 8.06.
Example Question #3 : How To Graph An Ordered Pair
Which point best represents the coordinate ?
B
C
A
D
D
To get to , move right along the x-axis by , then move up on the y-axis by .
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
Example Question #312 : Geometry
Which point best represents the coordinates ?
D
C
A
B
A
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
To get to , move left on the x-axis by , then move up on the y-axis by .
Example Question #313 : Geometry
Which point best represents the coordinate ?
C
B
A
D
D
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
To get to , only move up by on the y-axis. Do not move along the x-axis because the x-coordinate is .
Example Question #233 : Coordinate Plane
Which point best represents the coordinate ?
B
D
A
C
C
To get to , move right on the x-axis by then move up on the y-axis by .
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
Example Question #2 : How To Graph An Ordered Pair
Which point best represents the coordinate ?
D
A
C
B
A
To get to , move left on the x-axis by then move down the y-axis by .
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
Example Question #231 : Coordinate Plane
Which point best represents the coordinate ?
A
C
B
D
B
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
To get to , move right on the x-axis by , then move down on the y-axis by .
Example Question #541 : Ssat Upper Level Quantitative (Math)
Which point best represents the coordinate ?
A
B
D
C
B
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
To get to , move right on the x-axis by then move down on the y-axis by .
Example Question #1 : How To Graph An Ordered Pair
Which point best represents the coordinate ?
C
B
A
D
D
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.
To get to , move left on the x-axis by , then move up on the y-axis by .
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