ACT Math : ACT Math

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #851 : Act Math

In which Quadrant is the point  located?

Possible Answers:

Quadrant II

Quadrant III

Quadrant I

Quadrant IV

Correct answer:

Quadrant III

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 values are negative therefore, the point lies in the third quadrant. We can also check this by starting from the origin and going left 3 units and down 3 units. This will end up in the lower-left section of the coordinate-plane, which is Quadrant III.

Example Question #3 : How To Graph A Point

What are the coordinates of point B?

Graph1

Possible Answers:

Correct answer:

Explanation:

Find the x-coordinate by going right on the horizontal x-axis until you come across the line that is directly under the point. The x-coordinate is .

Now, continue up until you reach the point and look across to the vertical y-axis. The y-coordinate is .

 is then the coordinate of the point.

Example Question #2 : How To Graph A Point

What are the coordinates for point A?

Graph2

Possible Answers:

Correct answer:

Explanation:

Find the x-coordinate by going right on the horizontal x-axis until you come across the line that is directly under the point. The x-coordinate is .

Now, continue up until you reach the point and look across to the vertical y-axis. The y-coordinate is .

 are the coordinates for point A.

Example Question #4 : How To Graph A Point

What are the coordinates for point C?

Graph3

Possible Answers:

Correct answer:

Explanation:

Find the x-coordinate by going left on the horizontal x-axis until you come across the line that is directly above the point. The x-coordinate is .

Now, continue down until you reach the point and look across to the vertical y-axis. The y-coordinate is .

 are the coordinates for point C.

Example Question #5 : How To Graph A Point

What are the coordinates for point D?

Graph4

Possible Answers:

Correct answer:

Explanation:

Find the x-coordinate by going left on the horizontal x-axis until you come across the line that is directly under the point. The x-coordinate is .

Now, continue up until you reach the point and look across to the vertical y-axis. The y-coordinate is .

 are the coordinates for point D.

Example Question #31 : Graphing

What are the coordinates for point E?

Graph5

Possible Answers:

Correct answer:

Explanation:

Find the x-coordinate by going right on the horizontal x-axis until you come across the line that is directly above the point. The x-coordinate is .

Now, continue down until you reach the point and look across to the vertical y-axis. The y-coordinate is .

 are the coordinates for point E.

Example Question #7 : How To Graph A Point

What are the coordinates for point F?

Graph6

Possible Answers:

Correct answer:

Explanation:

Find the x-coordinate by going left on the horizontal x-axis until you come across the line that is directly above the point. The x-coordinate is .

Now, continue down until you reach the point and look across to the vertical y-axis. The y-coordinate is .

 are the coordinates for point F.

Example Question #8 : How To Graph A Point

What are the coordinates for point G?

Graph7

Possible Answers:

Correct answer:

Explanation:

Find the x-coordinate by going right on the horizontal x-axis until you come across the line that is directly under the point. The x-coordinate is .

Now, continue up until you reach the point and look across to the vertical y-axis. The y-coordinate is .

 are the coordinates for point G.

Example Question #32 : Graphing

What are the coordinates for point H?

Graph8

Possible Answers:

Correct answer:

Explanation:

Find the x-coordinate by going right on the horizontal x-axis until you come across the line that is directly under the point. The x-coordinate is .

Now, continue up until you reach the point and look across to the vertical y-axis. The y-coordinate is .

 are the coordinates for point H.

Example Question #33 : Graphing

What are the coordinates for point J?

Graph9

Possible Answers:

Correct answer:

Explanation:

Since there is no movement on the x-axis, the x-coordinate is .

Go up the vertical y-axis until you reach the point. The y-coordinate is .

 are the coordinates of point J.

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