Practice Page
Directions: Grab paper and pencil. Solve these system problems algebraically, using either the susbstitution method or the elimination (addition/subtraction) method. Beware!! The Systems Analyst may, or may not, be helpful!

1.

Solve and check this linear system algebraically:   
     y = x +
7
     y = -
2x + 1

officeworker1

 

 

2.

Solve and check this linear system algebraically:   
     x +
2y = 12
     
2x - y = 4

officeworker2

 

 

3.

Solve and check this linear system algebraically:   
     
2a - 2b = 6
     
5a - 3b = 9

officeworker1

 

 

4.

Solve and check this linear system algebraically:   
     
13x + 10y = 14
         -x +
6y = 4

officeworker4

 

 

5.
Which choice is the value of the y-coordinate of the solution to the system of equations:
     x - 3y = -3 and 2x + y = 8?

officeworker5
       Choose:
 
-3
2
3
-2

 


6.
The substitution method is used to solve the following system of equations algebraically:
     4x - 2y = 6 and 3x + 2y = 8
Which equivalent equation may be used in this process?

officeworker6
       Choose:
 
6a
6b
 
6c
6d

 

 

7.
Which choice is the solution to the system of equations:
       y = 3x and y = 2x + 7 ?
officeworker7
       Choose:
 
(7,10)
7
(-7,-21)
(7,21)

 

 

8.
Which choice is the solution to the system of equations:
     2x + y = 6 and 2y = -4x - 16 ?
fficeworker8
       Choose:
 
(2,-12)
8b
8a
No Solution



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