Expert: Lynn Houston - 4/27/2009

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

a.) Range {0, 1}       b.) Range {0, -1}

c.) Range {-1, 1}      d.) Range {1, 0, -1}




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

a.) y = 1/2 x - 1        b.) y = x -1

c.) y = -x + 1/2         d.) y = -2x + 1




20. Solve the following system of equations:
  x - 2y = 5
  
 4x - 3y = 15

a.) (-1, 5)        b.) (1, -5)

c.) (-5, 3)        d.) (3, -1)




21. A caterer's total cost for catering a party includes a base cost, which is the same for every party. In addition the caterer charges a certain amount for each guest. If it costs $350 to serve 20 guests and $500 to serve 35 guests, find the base cost and the cost per guest.

a.) $100 base cost; $12.50 per guest  
b.) $150 base cost; $10 per guest
c.) $150 base cost; $15 per guest  
d.) $100 base cost; $12 per guest



22. Solve the system of functions.
   3 x - y =
   
   x + 2 y =

a.) (0,4)       b.) (0,2)

c.) (1,-4)      d.) (0,-4)



23. Solve the system of equations:  
   8 x - 3 y

   3 x - 2 + 5 = 0

a.) (3,7)      b.) (3,-7)

c.) (4,7)      d.) (-3,-7)



24. Solve the system to find (u,v).Hint: x = 1/u and y = 1/v. Use x and y in the equations to solve. Once you solve for x and y, set those solutions equal to 1/u and 1/v, respectively, to find (u,v):

3 + 4 = 1
-   -
u   v
6 - 2 = 1
-   -
u   v

a.) (5,10)           b.) ( 1/5,1/10)

a.) (1/3,7/5)        d.) (10,5)  

Answer
18. Determine the range of the linear equation:
  y = 1 - x^2;  Domain = {-1, 0, 1}

a.) Range {0, 1}



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

c.) y = -x + 1/2


20. Solve the following system of equations:
 x - 2y = 5
4x - 3y = 15

d.) (3, -1)


21. A caterer's total cost for catering a party includes a base cost, which is the same for every party. In addition the caterer charges a certain amount for each guest. If it costs $350 to serve 20 guests and $500 to serve 35 guests, find the base cost and the cost per guest.

b.) $150 base cost; $10 per guest


22. Solve the system of functions.
  3x - y =
  x + 2y =

a.) (0,4)       b.) (0,2)

c.) (1,-4)      d.) (0,-4)

EQUALS WHAT?  


23. Solve the system of equations:  
  8x - 3y
  3x - 2 + 5 = 0

a.) (3,7)      b.) (3,-7)

c.) (4,7)      d.) (-3,-7)

I THINK YOU'RE MISSING SOMETHING HERE TOO


24. Solve the system to find (u,v).Hint: x = 1/u and y = 1/v. Use x and y in the equations to solve. Once you solve for x and y, set those solutions equal to 1/u and 1/v, respectively, to find (u,v):

3/u + 4/v = 1
6/u - 2/v = 1

a.) (5,10)