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Maths Midterm Review Exam

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Question;1. Solve the system of linear equations, using the Gauss-Jordan elimination method.;A) B) C)D)E);2. Consider the linear programming problem.;Sketch the feasible set for the linear programming problem.;A);B);C);D);E);3. Indicate whether the matrix is in row-reduced form.;A) The matrix is in row-reduced form.B) The matrix is not in row-reduced form.;4. Write the equationin the slope-intercept form and then find the slope and y-intercept of the corresponding line.;A)B)C)D);5. Solve the linear system of equations;A) Unique solution;B) Unique solution;C) Infinitely many solutions;D) No solution;6. Solve the linear system of equations;A) Unique solution;B) Unique solution;C) Infinitely many solutions;D) No solution;7. Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b. 8x = 5y + 9;A) y =x +;B) y = x -;C) y = - x -;D) y = - x +;E) y is not a linear function of x.;8. Check that the given simplex tableau is in final form. Find the solution to the associated regular linear programming problem.;A) B)C)D);9. Metro Department Store's annual sales (in millions of dollars) during 5 years were;Annual Sales, y;5.8;6.1;7.2;8.3;9;Year, x;1;2;3;4;5Plot the annual sales (y) versus the year (x) and draw a straight line L through the points corresponding to the first and fifth years and derive an equation of the line L.;A);B);C);10. If the line passing through the points (2, a) and (5, - 3) is parallel to the line passing through the points (4, 8) and (- 5, a + 1), what is the value of a?;A) a = -8B) a = 4C) a = -4D) a = 8;11. Maximize;P= 10x + 12y;subject to;A)B)C)D)E);12. Solve the linear programming problem by the simplex method.;A) x = 16, y = 0, z = 16, t = 0, u = 80, v = 21, w = 61, P = 180B) x = 0, y = 16, z = 0, t = 0, u = 80, v = 21, w = 61, P = 96C) x = 80, y = 16, z = 0, t = 0, u = 0, v = 21, w = 61, P = 68D) x = 80, y = 0, z = 0, t = 16, u = 80, v = 21, w = 61, P = 174;13. Find the slope of the line that passes through the given pair of points.;(2, 2) and (8, 5);A) B)2C)D)E);14. Check that the given simplex tableau is in final form. Find the solution to the associated regular linear programming problem.;A)B)C)D);15. 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.;A) one and only one solution;B) one and only one solution;C) one and only one solution;D) infinitely many solutions;E) no solution;16. Find the pivot element to be used in the next iteration of the simplex method.;A)B)C)D)E);17. Find an equation of the line that passes through the points (1, 4) and (-7, -4);A) y = 7x + 7B) y = x + 3C) y = 3x - 7D) y = 3x ? 3;18. Find the constants m and b in the linear function f(x) = mx + b so that f(1) = 2 and the straight line represented by f has slope - 1.;A)B)C)D);19. Solve the linear system of equations;A) Unique solution;B) Unique solution;C) Infinitely many solutions;D) No solution;20. Determine whether the given simplex table is in the final form. If so, find the solution to the associated regular linear programming problem.;A)B)C)D)E);21. 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);22. Consider the linear programming problem.;Sketch the feasible set for the linear programming problem.;A);B);C);D);E);23. Solve the system of linear equations using the Gauss-Jordan elimination method.;A) (0, 2)B) (8, 2)C) (4, ?6)D) (?2, 4)E) (4, ?2);24. Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b.;A)B)C)D)E) y is not a linear function of x.;25. Sketch the straight line defined by the linear equation by finding the x- and y- intercepts.;A);B);C);D)E)

 

Paper#61057 | Written in 18-Jul-2015

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