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Maths Multiple Choice problems

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Question;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=8A) 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=7A) 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=20A) 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) falseB) 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 8A) 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=4A) (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=-14A) (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=8A) (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=-7A) x=2, y=6, z=5B) x=2, y=5, z=-5C) x=2, y=0, z=5D) x=2, y=0, z=-5E) x=5, y=0, z=-2

 

Paper#61091 | Written in 18-Jul-2015

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