Expert: Richard J. Raridon - 7/16/2010

Question
1.   Determine the range of the linear equation:

y = 3x-5: Domain = {0, 1, 2, 3}

2.   Determine the range of the linear equation:

y = 1 - x2;  Domain = {-1, 0, 1}

3.   Determine the range of the linear equation:

y = 4x - x2;  Domain = {-1, -2, 0}

4.   Determine the range of the linear equation:

y = t2 + t - 2;  Domain = {-2, -1, 0, 1}

5.   Determine the range of the linear equation:

y = z2 - 3z;  Domain = {-1, 0, 1, 2}

6.   Give the domain of the linear equation:

       y=2/x+3

7.        Give the domain of the linear equation:

        y=x+2/x

8.   Give the domain of the linear equation:

y = √2x-3

9.   If y = 3x2 - 2x, then what is the y-value for x = 3?

10.   If y = |x + 1|, then what is the value for x = -2?

11.   Find the linear equation in slope-intercept form given the following information:
m = -1 and b =    1/2     

12. Find the linear equation given the following information:

  m=-4/3 and y-intercept = -1

13.   Find the linear equation given the following information:

y-intercept = 1 and the slope of the graph = -1

14.   Find the linear equation given the following information:

y-intercept = -1 and the line decreases by 3 when x increases by 1

15. Find the linear equation given the following information:

   m=-2/3  and when x = 6, y = -2

16.   Find the linear equation given the following information:

when x = 0, y = -2 and when x = 2, y = 4

17.   Find the linear equation given the following information:

when x = 2, y = 6 and when x = 4, y = 0

18.   Find the linear equation given the following information:

when x = -1, y = 2 and when x = 2, y = 2


19.   There is a linear equation where when x = 2, y = 10 and when x = 10, y = -2.  Find the ordered pairs when x = -10 and when x = 100.

20.   There is a linear equation where when x = 5, y = -5 and when x = -25, y = -25.  Find the ordered pairs when x = 2 and when x = 50.

21.   Which of the following sets of points do not fit into a line?

    {(-7,-1),(-5,1),(-1,5),(0,6)}      {(2,1), (-2,4), (2,5), (-1,4)}
  {(-2,-4),(0,-2),(3,1),(7,5)}      {(-5,1),(-2,-2),(0,-4),(1,-5)}

22.   What is the range for the following set of ordered pairs:

{(6,2), (6, -1), (6, -5), (6, 0)}


23.  What is the domain for the following set of ordered pairs:

{(-1,-1), (7, -1), (8,-1), (-5,-1)}


24.   What is the range for the following set of ordered pairs:

{(-3, 4), (-9, 4), (15, 4), (43, 4)}

25.   Solve the following system of equations:

4x + 3y =5

2x -5y = -17

26.   Solve the following system of equations:

2x + 3y =13

x -y = 9

27.   Solve the following system of equations:

3x + 2y =4

2x - 5y = -29

28.   Solve the following system of equations:

x - 2y = 5

4x - 3y = 15

29.   Solve the following system of equations:

3x - 4y = 14

4x + 10y = 11

30.   Solve the following system of equations:

x + y = 9

x - y = 13

31.   Find an equation in standard form for the passing through the points (1, 4) and (-3, 4).


32.   Find an equation in standard form for the line parallel to the x axis with a y-intercept of 6.

33.   Solve the following system of equations:

2y + 3x = 1

-7x - 5y = -4


34.   Solve the following system of equations:

y = 2 - 6x
1/2y - 6x = 1    

35.   Solve the following system of equations:

2x - 3y = 2 - x

3x - 2y = -2 + y

Answer
When I took algebra 60 years ago they didn't teach ranges and domains.
9. 21
10. 1
11. y = -x+1/2
12. y = (-4/3)x-1
13. y = -x+1
14. y = (-1/3)x-1
15. y = (-2/3)x+2
16. y = 3x-2
17. y = -3x+12
18. y = 2
19. (-10,27),(100,-138)
20. (2,-21/3),(50,25)
25. x=-1, y=3
26. x=8, y=-1
27. x=-2, y=5
28. x=3, y=-1
29. x=4, y=-1/2
30. x=11, y=-2
31. y=4
32. y=6
33. x=-3, y=5
34. x=0, y=2
35. indeterminate (parallel lines)