Expert: Richard J. Raridon - 7/23/2010

Question
1.   Determine the range of the linear equation:
y = 3x-5: Domain = {0, 1, 2, 3}

  a.Range {-5, -2, 1, 4}     c.Range {-5, -2, -2, 1}
  b.Range {0, 1, 2, 3}     d.Range {4, 1, -2, 5}

2.   Determine the range of the linear equation:
y = 1 - x2;  Domain = {-1, 0, 1}

  a.Range {0, 1}      c.Range {0, -1}
  b.Range {-1, 1}           d.Range {1, 0, -1}

3.   Determine the range of the linear equation:
y = 4x - x2;  Domain = {-1, -2, 0}

  a.Range {-5, -12, 0}      c.Range {-1, -2, 0}
  b.Range {-6, -12, 0}      d.Range {-15, 12, 5}

4.   Determine the range of the linear equation:
y = t2 + t - 2;  Domain = {-2, -1, 0, 1}

  a.Range {0, 2}      c.Range {0, -2}
  b.Range {-2, -1}      d.Range {1, 0, 2}

5.   Determine the range of the linear equation:
y = z2 - 3z;  Domain = {-1, 0, 1, 2}

  a.Range {-1, 0, -4}      c.Range {2, 0, -4, -1}
  b.Range {4, 0, -2}      d.Range {-2, 0}

6.   Give the domain of the linear equation:
y=2/x+3   
                 
  a.Domain = {-3}                      c.Domain = {x: x ≠ -3}
  b.Domain = {all real numbers}  d.Domain = {x: -3 < x < 3}

7.   Give the domain of the linear equation:
y=x + 2/x   
         
  Domain = {x: all real numbers}      Domain = {x: x ≠ 0}
  Domain = {x: x ≠ -2}      Domain = {x: -2 < x < 2}

8.   Give the domain of the linear equation:
y = √2x-3

  a.Domain = {x: all real numbers}  c.Domain = {x: x ≠ -3}
  b.Domain = {x: x ≥ 3/2}         d.Domain = {x: -2 < x < 3/2}

9.   If y = 3x2 - 2x, then what is the y-value for x = 3?
  a.21      c.18
  b.33      d.27

10.   If y = |x + 1|, then what is the value for x = -2?
  a.-1      c.3
  b.-3      d.1


13.   Find the linear equation given the following information:
y-intercept = 1 and the slope of the graph = -1

  a.y = 1      c.y = x + 1
  b.y = 1 - x   d.y = -x - 1

14.   Find the linear equation given the following information:
y-intercept = -1 and the line decreases by 3 when x increases by 1

  a.y = -x - 3      c.y = -3x + 1
  b.y = -3x - 1   d.y/3 =  -1x - 1    


16.   Find the linear equation given the following information:
when x = 0, y = -2 and when x = 2, y = 4

  a.y = 2x - 3      c.y = 3x + 2
  b.y = 2x + 3      d.y = 3x - 2

17.   Find the linear equation given the following information:
when x = 2, y = 6 and when x = 4, y = 0

  a.y = -3x + 12      c.y = 12x - 3
  b.y = -x + 4              d.y = -3x

18.   Find the linear equation given the following information:
when x = -1, y = 2 and when x = 2, y = 2

  a.y = 0      c.y = 2
  b.y = 2x      d.y = x + 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.
  a.(-10, 3) and (100, -137)      c.(-10, 28) and (100, -163)
  b.(-10, 28) and (100, -137)   d.(-10, 28) and (100, 137)

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.
  a.(2, 21) and (50, 75)      c.(2, -7) and (50, 25)
  b.(2, 21) and (50, 50)      d.(2, -7) and (50, 50)

21.   Which of the following sets of points do not fit into a line?
  a.{(-7,-1),(-5,1),(-1,5),(0,6)}      c.{(2,1), (-2,4), (2,5), (-1,4)}
  b.{(-2,-4),(0,-2),(3,1),(7,5)}      d.{(-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)}

  a.Range = {6}      c.Range = {6, 6, 6, 6}
  b.Range = {2, -1, -5}   d.Range = {2, -1, -5, 0}

23.   What is the domain for the following set of ordered pairs:
{(-1,-1), (7, -1), (8,-1), (-5,-1)}

  a.Domain = {-1, -1, -1, -1}   c.Domain = {-1}
  b.Domain = {-1, 7, 8, -5}      d.Domain = {all real numbers}

24.   What is the range for the following set of ordered pairs:
{(-3, 4), (-9, 4), (15, 4), (43, 4)}

  a.Range = {4, 0, 1, 2}   c.Range = {-3, -9, 15, 43}
  b.Range = {-3, -9}   d.Range = {4}

25.   Solve the following system of equations:
4x + 3y =5

2x -5y = -17

  a.(3, -1)      c.(1, 0.33)
  b.(-1, 3)      d.(-1, -3)

26.   Solve the following system of equations:
2x + 3y =13

x -y = 9

  a.(-1, -8)   c.(8, -1)
  b.(8, 2)      d.(2, -8)

27.   Solve the following system of equations:
3x + 2y =4

2x - 5y = -29

  a.(-2, 5)      c.(2, -2)
  b.(2, 2)      d.(5, -2)

28.   Solve the following system of equations:
x - 2y = 5

4x - 3y = 15

  a.(-1, 5)      c.(1, -5)
  b.(-5, 3)      d.(3, -1)

29.   Solve the following system of equations:
3x - 4y = 14

4x + 10y = 11

  a.(2, -1/2)      c.(4, -1/2)
  b.(-1/2, 1/2)   d.(-1/2, 2)

30.   Solve the following system of equations:
x + y = 9

x - y = 13

  a.(11, -2)      c.(3, 11)
  b.(11, -3)      d.(3, -2)

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

1/2    y - 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.  Sorry.
9. You need to write it y = 3x^2 -2x, answer a.
10. d
13. b
14. b
16. d
17. d
18. c
19. b
20. c
21. c
25. b
26. c
27. a
28. d
29. c
30. a
31. y=4
32. y=6
33. x=-3, y=5
34. x=0, y=2
35. no solution, parallel lines