ISEE Middle Level Quantitative : How to find the points on a coordinate plane

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

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Example Questions

Example Question #2 : Geometry

Choose the best answer from the four choices given.

The point (15, 6) is on which of the following lines?

Possible Answers:

Correct answer:

Explanation:

For this problem, simply plug in the values for the point (15,6) into the different equations (15 for the -value and 6 for the -value) to see which one fits.

          (NO)

 

         (YES!)

 

      (NO)

 

       (NO)  

Example Question #3 : Geometry

Choose the best answer from the four choices given.

What is the point of intersection for the following two lines?

Possible Answers:

Correct answer:

Explanation:

At the intersection point of the two lines the - and - values for each equation will be the same. Thus, we can set the two equations as equal to each other:

 

 

 

 

 

 

 

point of intersection

Example Question #4 : Geometry

Choose the best answer from the four choices given.

What is the -intercept of the line represented by the equation

Possible Answers:

Correct answer:

Explanation:

In the formula , the y-intercept is represented by (because if you set to zero, you are left with ).

Thus, to find the -intercept, set the value to zero and solve for .

 

 

 

 

Example Question #5 : Geometry

The ordered pair is in which quadrant?

Possible Answers:

Quadrant II

Quadrant V

Quadrant I

Quadrant IV

Quadrant III

Correct answer:

Quadrant II

Explanation:

There are four quadrants in the coordinate plane. Quadrant I is the top right, and they are numbered counter-clockwise. Since the x-coordinate is , you go to the left one unit (starting from the origin). Since the y-coordinate is , you go upwards four units. Therefore, you are in Quadrant II.

Example Question #6 : Geometry

If angles s and r add up to 180 degrees, which of the following best describes them?

Possible Answers:

Supplementary. 

Complementary

Obtuse

Acute

Correct answer:

Supplementary. 

Explanation:

Two angles that are supplementary add up to 180 degrees. They cannot both be acute, nor can they both be obtuse. Therefore, "Supplementary" is the correct answer. 

Example Question #11 : Geometry

The lines of the equations 

and 

intersect at a point .

Which is the greater quantity?

(a) 

(b) 

Possible Answers:

(b) is the greater quantity

It is impossible to determine which is greater from the information given

(a) is the greater quantity

(a) and (b) are equal

Correct answer:

(b) is the greater quantity

Explanation:

If  and , we can substitute in the second equation as follows:

 

Substitute:

 

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