Self-assessment C

Mathematical Relations

Problem 1 / Answer
1. Name the abscissa of the ordered pair (-2, 5)
2. In which quadrant is the point (3, -4) located?
3. Give the domain of the relation below
{(-2, 3), (5, -1), (0, 3), (2, -1)}
4. Give the transpose of the relation below
{(-2, 3), (5, -1), (0, 3), (2, -1)}
5. Find the x – intercept of the relation 3x – 5y = -15
6. Find the point symmetric to (-5, 3) with respect to the y-axis
7. Find the point symmetric to (-5, 3) with respect to the x-axis
8. Find the point symmetric to (-5, 3) with respect to the x-axis
9. Find the slope of the line 5x -13y = 61
10. Given that the point (7, -2) belongs to the line
5x – 13y = 61, find two other friendly points
11. Find the center and radius of the circle
12. Find the domain of the circle
13. Which of the following is a vertical line?
a) x + y =1, b) y = 3 c) y = x, d) x = -2 e) y = 0
14. Write the equation of the circle with radius 5 and center at (3, -2)
15. Find the midpoint of the line segment connecting the point (-3, 6) and (7, -8)
Problem 2 / Answer
1. Give the transpose of the relation 3x + 5y =-3
2. In which quadrant is the point (-5, 6) located?
3. Give the domain of a circle with center (-2, 3) and radius r = 5
4. Find the y –intercept of the relation 2x – 5y = -10
5 . Find the point symmetric to (5,7) with respect to the x-axis
6. Find the equation of a relation that is symmetric with respect to the y-axis to the relation y = 5x +7
7. Find the standard equation of the circle with center (-2, 3) and radius r = 5
8. Which of the following is a horizontal line?
a) x + y =1, b) y = 3 c) y = x, d) x = -2 e) x = 7
9. The slope of a horizontal line is
a) 0 b) undefined c) positive d) zero
10) Find the midpoint of the line segment connecting the point (5, -1) and (7, -6)

Problem 3 : Consider the equation 4x + 3y = - 6.

a) Does the point ( -3, 2) belongs to the line? Yes or no? a) ___ __

4(-3) +3(2) = -12 + 6 = -6

b) Find the slope of the line. b) m = ______

c) Find two points of the line c) ______

d) Draw the line in the Cartesian System provided below.

e) On the graph above, shade the graph of the inequality 4x +3y -6