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Maths Multiple Choice problems

Question # 00010564
Subject: Mathematics
Due on: 03/20/2014
Posted On: 03/20/2014 01:46 AM

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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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Maths Multiple Choice problems Solution

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Tutorial Preview …C) xxxxxxxxxx many xxxxxxxxxx (t, 8t+1) xx No solution x A xxxxxx xxxxxxxx of xxx linear equations xxxx have at xxxxx one xxxxxxxx xx the xxxxxxxx lines represented xx these equations xxx nonparallel xx xxxxxxx true xx Solve the xxxxxx system of xxxxxxxxx 6x-7y=20 xxxxxxxx xx Unique xxxxxxxxx (1, -2) xx Unique solution: xxxx 3) xx xxxxxxxxxx many xxxxxxxxxx (t, 4t+5) xx No solution xx Indicate xxxxxxx xxx matrix xx in row-reduced xxxx [ /] xx The xxxxxx xx not xx row-reduced form xx The matrix xx in xxxxxxxxxxx xxxx 12 xxxxxxxx whether the xxxxxx is in xxxxxxxxxxx form xx x A) xxx matrix is xx row-reduced form xx The xxxxxx xx not xx row-reduced form xx Indicate whether xxx matrix xx xx row-reduced xxxx [ / x A) The xxxxxx…
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