All ISEE Lower Level Quantitative Resources
Example Questions
Example Question #2 : How To Find A Line On A Coordinate Plane
At which coordinate point does this line segment cross the -axis?
Keep in mind that the values in the coordinate points are , thus the point is the point at which the line segment passes through the axis.
Example Question #6 : How To Find A Line On A Coordinate Plane
Find the equation that represents a line that has a intercept of .
To identify the correct equation, apply the formula , where represents the slope of the line and the intercept.
Thus, the line that passes through the axis at is
Example Question #3 : How To Find A Line On A Coordinate Plane
Which of the following equations of a line has the steepest slope?
To find which equation of a line has the steepest slope, apply the formula: , where represents the slope of the line and represents the intercept.
Also, note that , meaning the change in the value, over the change in the value.
The equation that has the largest absolute value of m is the equation that has the steepest slope.
Thus, the equation has the steepest slope, because in order to go from one point to the next move a vertical distance of and a horizontal distance of which is larger than any of the other choices.
Example Question #2 : How To Find A Line On A Coordinate Plane
Find the slope of the line that passes through the coordinate points and .
To find the slope of the line that passes through these two coordinate points, apply the formula:
Thus the correct answer is:
Example Question #9 : How To Find A Line On A Coordinate Plane
Line segment has endpoints and . What is the slope of the line segment?
To find the slope of the line that passes through these two coordinate points, apply the formula:
Thus the correct answer is:
Example Question #152 : Geometry
Find the length of the line segment above.
To find the length of this line segment find the difference between each of the two end points values, since they have the same value.
The difference between and is .
Example Question #153 : Geometry
Find coordinates for the midpoint of the line segment above.
To find the midpoint of this line segment, you could apply the midpoint formula. However, most students preparing for this exam will not learn the midpoint formula for several years. Therefore, the most effective way to find the midpoint is to find the difference between the two end points' values, and then divide the difference in half to find the middle coordinate.
Since, the difference between and is .
.
Thus, the midpoint is increments away from each of the points. By counting increments from either point, you'll land on the midpoint coordinate of .
Example Question #901 : Isee Lower Level (Grades 5 6) Quantitative Reasoning
Find the equation of a line that has the steepest slope?
To find which equation of a line has the steepest slope, apply the formula: , where represents the slope of the line and represents the intercept.
Also, note that , meaning the change in the value, over the change in the value. The greater the absolute value m value of an equation is the steeper the slope of the line is.
Therefore find the largest absolute value m and that will be the correct answer for this problem.
Thus, the correct answer is .
Example Question #1 : How To Find The Points On A Coordinate Plane
Which quadrant would (-3, -5) be in?
III
II
IV
I
III
Two negative points will always be found in Quadrant III.
Example Question #2 : How To Find The Points On A Coordinate Plane
Which coordinate point is closest to the -axis?
Although coordinate point has the largest value in comparison to the other answer choices--it is the closest point to the -axis becaues of the points value.
Compare the absolute value of each of the coordinate points values. Since, the absolute value of point is the lowest, the point has the shortest distance to the -axis.
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