ISEE Lower Level Quantitative : Coordinate Geometry

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

Example Question #161 : Coordinate Geometry

Which coordinate point is farthest from the -axis? 

Possible Answers:

Correct answer:

Explanation:

Compare the absolute value of each of the coordinate points  values. Since, the  value of point  has the greatest absolute value, this point has the farthest distance to the horizontal -axis.

Example Question #162 : Geometry

Find the equation of the line that passes through coordinate point .

Possible Answers:

Correct answer:

Explanation:

To find the equation of the line that passes through coordinate point , plug the  and  values into each equation. The correct equation will end with a true statement. 

The solution is:













Example Question #1 : How To Find The Points On A Coordinate Plane

Select the coordinate point with the farthest distance from the -axis. 

Possible Answers:

Correct answer:

Explanation:

Since the -axis runs vertically, the point that has the  coordinate with the greatest absolute value will be farthest from the -axis. Therefore, coordinate point  has the longest distance to the -axis, because the point is a distance of  away from the -axis. Every other coordinate point has an absolute distance of  or less. 

Example Question #2 : How To Find The Points On A Coordinate Plane

The coordinate point   is on the line represented by which of these linear expressions? 

Possible Answers:

Correct answer:

Explanation:

To find the equation of the line that passes through coordinate point , plug the  and  values into each equation. The correct equation will end with a true statement. 

The solution is:
,



Example Question #3 : How To Find The Points On A Coordinate Plane

Which of the following points corresponds to ?

1

Possible Answers:

Correct answer:

Explanation:

Recall that in a coordinate , the first number corresponds to how to move on the horizontal x-axis, and the second number corresponds to how to move on the veritcal y-axis.

Every time you see a positive number in the x-coordinate, you will move to the right. Every time you see a negative number in the x-coordinate, you will move to the left.

When you see a positive number in the y-coordinate, you will move up. When you see a negative number in the y-coordinate, you will move down.

To get to the point , move  units to the right on the x-axis, then move  units up on the y-axis.

Example Question #4 : How To Find The Points On A Coordinate Plane

Which of the following points corresponds to ?

2

Possible Answers:

Correct answer:

Explanation:

Recall that in a coordinate , the first number corresponds to how to move on the horizontal x-axis, and the second number corresponds to how to move on the veritcal y-axis.

Every time you see a positive number in the x-coordinate, you will move to the right. Every time you see a negative number in the x-coordinate, you will move to the left.

When you see a positive number in the y-coordinate, you will move up. When you see a negative number in the y-coordinate, you will move down.

To get to the point , move  units to the left on the x-axis, then move  units up on the y-axis.

Example Question #5 : How To Find The Points On A Coordinate Plane

Which of the following points corresponds to ?

3

Possible Answers:

Correct answer:

Explanation:

Recall that in a coordinate , the first number corresponds to how to move on the horizontal x-axis, and the second number corresponds to how to move on the veritcal y-axis.

Every time you see a positive number in the x-coordinate, you will move to the right. Every time you see a negative number in the x-coordinate, you will move to the left.

When you see a positive number in the y-coordinate, you will move up. When you see a negative number in the y-coordinate, you will move down.

To get to the point , move  units to the left on the x-axis, then move  units down on the y-axis.

Example Question #11 : How To Find The Points On A Coordinate Plane

Which of the following points corresponds to ?

5

Possible Answers:

Correct answer:

Explanation:

Recall that in a coordinate , the first number corresponds to how to move on the horizontal x-axis, and the second number corresponds to how to move on the veritcal y-axis.

Every time you see a positive number in the x-coordinate, you will move to the right. Every time you see a negative number in the x-coordinate, you will move to the left.

When you see a positive number in the y-coordinate, you will move up. When you see a negative number in the y-coordinate, you will move down.

To get to the point , move  units to the left on the x-axis, then move  units down on the y-axis.

Example Question #162 : Geometry

Which of the following corresponds with the point ?

6

Possible Answers:

Correct answer:

Explanation:

Recall that in a coordinate , the first number corresponds to how to move on the horizontal x-axis, and the second number corresponds to how to move on the veritcal y-axis.

Every time you see a positive number in the x-coordinate, you will move to the right. Every time you see a negative number in the x-coordinate, you will move to the left.

When you see a positive number in the y-coordinate, you will move up. When you see a negative number in the y-coordinate, you will move down.

To get to the point , move  units to the right on the x-axis, then move  units down on the y-axis.

Example Question #163 : Geometry

Which of the following corresponds with the point ?

7

Possible Answers:

Correct answer:

Explanation:

Recall that in a coordinate , the first number corresponds to how to move on the horizontal x-axis, and the second number corresponds to how to move on the veritcal y-axis.

Every time you see a positive number in the x-coordinate, you will move to the right. Every time you see a negative number in the x-coordinate, you will move to the left.

When you see a positive number in the y-coordinate, you will move up. When you see a negative number in the y-coordinate, you will move down.

To get to the point , move  units to the right on the x-axis, then move  units up on the y-axis.

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