practice page
Directions: You will need paper and pencil. Choose, or supply, the best answer.
Solutions will be shown using the elimination method. Other solution methods are possible.

1.
Given the system:
       3x + 3y = -3
      -3x - 4y = 2
What is the solution to this system?
Choose:
 
(1, -2)
(-1, 2)
(2, -1)
(-2, 1)

 

 

2.
Each year the school's Spanish Club sponsors a student musical, in Spanish. The event is very entertaining and very humorous.
The equations 5x + 2y = 48 and
3x + 2y = 32 represent the money collected from musical ticket sales during two class periods.  The cost for each adult ticket is represented by x, and the cost for each student ticket is represented by y.
a) What is the cost for each adult ticket?
b) What is the cost for each student ticket?

 

 

3.
Given the system:
       6x + 5y = 2
      -8x - 10y = 24
What is the solution to this system?
Choose:
 
(7, -8)
(-7, 8)
(-8, 7)
(8,-7)

 

 

4.
A new skateboarding park has opened where participants pay for designated timed sessions to use different obstacles such as half-pipes, banked ramps, and spines. Jason and Diego visit the park to use the half-pipes, p, and banked ramps, r. Their tickets, shown at the right, are stamped each time they use a designated timed session.
At the end of the afternoon, Jason's charge totaled $17.70, and Diego's charge totaled $15.55.
a) Find the cost of a designated timed session on the half-pipe.
b) Find the cost of a designated timed session on the banked ramp.
ticketJ

ticketD

 

 

5.
Given the system:
      4x + 3y = -1
      5x + 4y = 1
What is the solution to this system?
Choose:
 
(-7, 9)
(9, -7)
(-1,1)
(1,-1)

 


6.
Given the system:
      5a - 3b = 9
      2a - 2b = 6
What is the solution to this system?
Choose:
 
(0, 3)
(3, 0)
(0, -3)
(-3, 0)

 

 

7.
Given the system:
      2x + 17 = 7y
      5x = -8y - 17
What is the solution to this system?
Choose:
 
(-8, 1)
(-5, 1)
(1, -8)
(1,-5)

 

 

8.
Given the system:
      10p + 10q = -20
      11p + 4q = -36
What is the solution to this system?
Choose:
 
(-2, 4)
(-5, 2)
(-4, 2)
(2, -5)

 

 

9.
Given the system:
       4x = 9 - 5y
       9y - 20 = -11x
What is the solution to this system?
Choose:
 
(-1, 1)
(1, 0)
(1, -1)
(1, 1)

 

 

10.
At a baseball game, Jose bought five hot dogs and three large sodas for $17. At the same time, Natasha bought two hot dogs and four large sodas for $11.
a) Set up a system of equations for this problem.
b) Find the cost of one hot dog.
c) Find the cost of one soda.
d) Prepare a graph showing the solution to this problem.

 

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