ACT Math : Graphing

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #1 : How To Graph An Ordered Pair

In which Quadrant is the point  located?

Possible Answers:

Quadrant II

Quadrant I

Quadrant III

Quadrant IV

Correct answer:

Quadrant I

Explanation:

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 #274 : Coordinate Geometry

Which of the following coordinate pairs is farthest from the origin?

Possible Answers:

Correct answer:

Explanation:

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 #1 : How To Graph An Ordered Pair

Which point best represents the coordinate ?

Picture8

Possible Answers:

C

A

B

D

Correct answer:

D

Explanation:

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 #1 : Graphing

Which point best represents the coordinates ?

Picture1

Possible Answers:

D

B

A

C

Correct answer:

A

Explanation:

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 #3 : Graphing

Which point best represents the coordinate ?

Picture2

Possible Answers:

B

A

C

D

Correct answer:

D

Explanation:

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 #4 : Graphing

Which point best represents the coordinate ?

Picture3

Possible Answers:

C

D

A

B

Correct answer:

C

Explanation:

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 #1 : How To Graph An Ordered Pair

Which point best represents the coordinate ?

Picture4

Possible Answers:

D

C

B

A

Correct answer:

A

Explanation:

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 #6 : Graphing

Which point best represents the coordinate ?

Picture5

Possible Answers:

B

D

A

C

Correct answer:

B

Explanation:

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 #11 : How To Graph An Ordered Pair

Which point best represents the coordinate ?

Picture7

Possible Answers:

B

A

C

D

Correct answer:

B

Explanation:

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 #242 : Coordinate Plane

Which point best represents the coordinate ?

Picture9

Possible Answers:

D

C

A

B

Correct answer:

D

Explanation:

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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