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Systems of Equations Post-Test
Contributed by: DeNu
  • 1. 1.
    Which of the following points is a solution to the system of equations?


    y = 2x - 1

    y = 5x + 2
A) (-2,-5)
B) (-2,-8)
C) (-1,-3)
D) (0,-1)
  • 2. 2.

    Determine whether (6,4) is a solution to the following system of linear equations:


    x + y = 10
    x-y = -2
A) Yes (6,4) is a solution
B) There is not enough information given to determine is if it is or is not a solution.
C) No (6,4) it is not a solution
  • 3. 3.

    Which is the solution to the graph of system of equations above?
A) (2,0)
B) (4,3)
C) (0,5)
D) (3,4)
  • 4. 4.

    Without graphing, determine whether the system of linear equations has one solution, no solution, or infinitely many solution

    x + y = 5

    -2x - 2y = - 10
A) No Solution
B) Infinite Solutions
C) One Solution
  • 5. 5.

    Put the following equation into slope-intercept form:

    2x+y=8

    Type your answers in the space below - use all lowercase letters and DO NOT USE ANY SPACES :)
    (or the computer will automatically mark wrong)
  • 6. 6.

    Solve each system of linear equations using substitution


    x = -4y
    3x + 2y = 20
A) (-8, 2)
B) (2,-8)
C) (-2, -8)
D) (8,-2)
  • 7. 7.

    Which system of equations has infinitely many solutions?

    A.
    y = 2x + 4
    y = 2x + 4

    B.
    y= 3x + 1
    y= -3x + 1


    C.
    x+y=4
    3x+3y=1


    D.
    y=2x+1
    y=5-x
A) C
B) B
C) A
D) D
  • 8. 8.

    A system of equations is shown.

    x=10

    3x+5y=20

    In the system of equations, what is the value of y? Enter only your numeric answer in the box.
  • 9. 9.

    Part A
    Please enter only the Star value in the box:
  • 10. 10.

    Part B
    Please enter only the circle value in the box:
  • 11. 11.

    Determine the solution to this system of equations:

    y=2x-3

    y-x=-2
A) (-1,1)
B) (-1,-1)
C) (1,-1)
D) (1,1)
  • 12. 12.

    The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets.

    Write the price of the senior citizens ticket in the space below. Use only the number without a label or dollar sign.
  • 13. 13.

    The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets.

    Write the price of the children's ticket in the space below. Use only the number without a label or dollar sign.
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