Maths Multiple Choice problems

Question # 00010649 Posted By: spqr Updated on: 03/22/2014 10:14 AM Due on: 03/31/2014
Subject Mathematics Topic General Mathematics Tutorials:
Question
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Solve the linear system of equations: x-3y= -6 5x+3y=42

A) Unique solution: (6, 4)

B) Unique solution: (6, -1)

C) Infinitely many solutions: (t, 8t+7)

D) No solution

2. Solve the linear system of equations: 2x-6y=7 5x+2y=10

A) Unique solution: (8, 3)

B) Unique solution: (37/17 , 15/34)

C) Infinitely many solutions: (t, 6t+1)

D) No solution

3. Solve the linear system of equations: x+16y=9 1/4 x + 4y=8
A) Unique solution: (9, 4)

B) Unique solution: (2, -4)

C) Infinitely many solutions: (t, 8t+9)

D) No solution

4. Solve the linear system of equations: 3x-2y=7 9x-6y=14

A) Unique solution: (6, -4)

B) Unique solution: (8, 5)

C) Infinitely many solutions: (t, 8t+5)

D) No solution


5. Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist.
X+3y=9 3x-y=7
A) one and only one solution (3,2)

B) one and only one solution (3,4)

C) one and only one solution (4,2)

D) infinitely many solutions (9-3k, k)

E) no solution


6. Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist.
2x – 5y=10 4x-10y=20
A) one and only one solution (0, -2)
B) one and only one solution (5, 10)
C) one and only one solution (15/2 ,1)

D) infinitely many solutions (5/(2 ) k+5, k)

E) no solution


7. Solve the linear system of equations 7/4 x - 5/2 y=2 1/4 x +7/2 y=8

A) Unique solution: (7, -4)

B) Unique solution: (4, 2)

C) Infinitely many solutions: (t, 6t+1)

D) No solution

8. Solve the linear system of equations 9x-7y=63 45x-35y=18

A) Unique solution: (5, -4)

B) Unique solution: (3, 4)

C) Infinitely many solutions: (t, 8t+1)

D) No solution


9. A system composed of two linear equations must have at least one solution if the straight lines represented by these equations are nonparallel.

A) false
B) true


10. Solve the linear system of equations 6x-7y=20 3x+5y=-7

A) Unique solution: (1, -2)

B) Unique solution: (-9, 3)

C) Infinitely many solutions: (t, 4t+5)

D) No solution


11. Indicate whether the matrix is in row-reduced form.
[ ?(1&0@0&1) / ?(7@5) ]

A) The matrix is not in row-reduced form.
B) The matrix is in row-reduced form.


12. Indicate whether the matrix is in row-reduced form.

[ ?(1&0&1@0&1&0@0&0&-1) / ?(9@8@6) ]

A) The matrix is in row-reduced form.
B) The matrix is not in row-reduced form.


13. Indicate whether the matrix is in row-reduced form.

[ ?(1&0@0&1@0&0) / ?(-12@2@0) ]

A) The matrix is not in row-reduced form.
B) The matrix is in row-reduced form.


14. Indicate whether the matrix is in row-reduced form.

[ ?(1&0&0@0&1&0@0&0&2) / ?(-1@-2@-3) ]

A) The matrix is in row-reduced form.
B) The matrix is not in row-reduced form.


15. Indicate whether the matrix is in row-reduced form.

[ ?(1&0&0@0&1&0@0&0&0) / ?(9@6@2) ]
0 0 1 8
A) The matrix is in row-reduced form.
B) The matrix is not in row-reduced form.


16. Solve the system of linear equations using the Gauss-Jordan elimination method.
x-2y=8 3x+4y=4
A) ( 0, 2 )
B) ( 8, 2 )
C) ( 4, –6 )
D) ( –2, 4 )
E) ( 4, –2 )

17. Solve the system of linear equations using the Gauss-Jordan elimination method.
3x+2y=14 x-4y=-14
A) (2, -14)
B) (4, -14)
C) (2, 4)
D) (2, 16)
E) (4, -14)


18. Solve the system of linear equations using the Gauss-Jordan elimination method.

A) ( 7, –3 )
B) ( 6, –2 )
C) ( 2, –6 )
D) ( –6, 2 )
E) ( –7, –2 )


19. Solve the system of linear equations using the Gauss-Jordan elimination method.
3x+3y+z=22 x + z =6 44-3z=8
A) ( 4, –14, –8 )
B) ( –19, 4, 8 )
C) ( 8, –14, –4 )
D) ( 14, 4, 8 )
E) ( 14, –4, –8 )

20. Solve the system of linear equations, using the Gauss-Jordan elimination method.
2x+5y-2z=14 5x-6y+2z=0 4x-y+3z=-7
A) x=2, y=6, z=5
B) x=2, y=5, z=-5
C) x=2, y=0, z=5
D) x=2, y=0, z=-5
E) x=5, y=0, z=-2

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Tutorials for this Question
  1. Tutorial # 00010230 Posted By: spqr Posted on: 03/22/2014 10:33 AM
    Puchased By: 2
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    A system composed of two linear equations must have at ...
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    Solution-00010230.zip (106 KB)

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