Mathematics for Management -- Supplementary Electronic Materials

Quiz: The Cartesian Coordinate System

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1. If $ (x,0) = (0,y) $, then $ (x,y) $ is

$ (x,y) = (0,1) $ $ (x,y) = (1,0) $ $ (x,y) = (0,0) $ $ (x,y) = (1,1) $

2. If $ (x-1,y+1) = (0,0) $, then $ (x,y) $ is

$ (x,y) = (1,-1) $ $ (x,y) = (-1,1) $ $ (x,y) = (1,1) $ $ (x,y) = (-1,-1) $

3. Quadrant IV contains all points with coordinates

$ (x,y) $, $ x,y > 0 $ $ (-x,y) $, $ x,y > 0 $ $ (x,-y) $, $ x,y > 0 $ $ (-x,-y) $, $ x,y > 0 $

4. Which ordered pair satisfies the equation $ y = 2x $?

$ (1,2) $ $ (2,1) $ $ (2,2) $ $ (0,1) $

5. When plotting the point $ (-4,3) $, which describes the movement along the $ x $-axis and the $ y $-axis in the correct order?

$ 4 $ units right then $ 3 $ units up $ 4 $ units left then $ 3 $ units up $ 4 $ units right then $ 3 $ units down $ 4 $ units left then $ 3 $ units down

6. What ordered pair is $ 5 $ units to the right and $ 3 $ units up from the origin?

$ (-3,-5) $ $ (5,3) $ $ (-3,5) $ $ (-5,-3) $

7. What is the distance between the two points $ (1,9) $ and $ (1,-4) $?

$ 11 $ $ 15 $ $ 12 $ $ 13 $

8. What is the distance between the two points $(4,6)$ and $(9,15)$?

$ 106 $ $ 10.3 $ $ 10.2 $ $ 34 $

9. Let $ P(x,y) $ be equidistant from the points $ (7,1) $ and $ (3,5) $. Find a relation between $ x $ and $ y $.

$ y-x=4 $ $ y-x=2 $ $ x-y=2 $ $ x-y=4 $

10. One end of a line of length $ 10 $ units is at the point $ (-3,2) $. If the $ y $-coordinate of the other end be $ 10 $, then the $ x $-coordinate will be

$ 9 $ or $ -3 $ $ -9 $ or $ -3 $ $ 9 $ or $ 3 $ $ -9 $ or $ 3 $

Your grade is: __ of 10

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Solution: 1c; 2a; 3c; 4a; 5b; 6b; 7d; 8b; 9c; 10b

Here, a, b, c, d indicate the 1st, 2nd, 3rd, and 4th answer choice, respectively, for the numbered questions.

Quiz: The Cartesian Coordinate System

1. If \( (x,0) = (0,y) \), then \( (x,y) \) is

2. If \( (x-1,y+1) = (0,0) \), then \( (x,y) \) is

3. Quadrant IV contains all points with coordinates

4. Which ordered pair satisfies the equation \( y = 2x \)?

5. When plotting the point \( (-4,3) \), which describes the movement along the \( x \)-axis and the \( y \)-axis in the correct order?

6. What ordered pair is \( 5 \) units to the right and \( 3 \) units up from the origin?

7. What is the distance between the two points \( (1,9) \) and \( (1,-4) \)?

8. What is the distance between the two points $(4,6)$ and $(9,15)$?

9. Let \( P(x,y) \) be equidistant from the points \( (7,1) \) and \( (3,5) \). Find a relation between \( x \) and \( y \).

10. One end of a line of length \( 10 \) units is at the point \( (-3,2) \). If the \( y \)-coordinate of the other end be \( 10 \), then the \( x \)-coordinate will be