MATH 105 Exam 1 40 Unanswered Please be sure to save at least once every 15 minutes. If you leave this page without saving, or if your session times out, any answers you have not saved will be lost. The Submit for Grading button will become available once you've answered all questions. Exams are not timed; you do not have to finish an exam in one sitting as long as you have saved your answers. Q1. B = {6, 8, -16, 0, 0/1, 25, 0.09, -8, 0.252525...}. List all the elements of B that are rational numbers. a. {6, -16, 0, 0/1, 25, 0.09, -8, 0.252525...} b. {6, -16, 0, 0/1, 0.09} c. {6, -16, 0, 0/1, 25, 0.09, 0.252525...} d. {6, -16, 0, 0/1, 0.09, 0.252525...} Q2. Write the expression 2i15 - i7 in the standard form a + bi. a. -1 b. i c. -i d. 1 Q3. Choose the graph of the number line with the correctly labeled points for the following coordinates: -9, -7, -5, -3. a. b. c. d. Q4. Write the expression -64 and express your answer in the standard form a + bi. a. i8 b. 8i c. -8i d. 8 Q5. Find the real solutions of the equation x + x = 56. a. {8} b. {49} c. {7} d. {64} Q6. Solve the equation 8x2 - 3x + 1 = 0 in the complex number system. a. {(-3/16) - (23i/16), (-3/16) + (23i/16)} b. {(-3/16) - (23i/16), (3/16) + (23i/16)} c. {(3/16) - (23i/16), (-3/16) + (23i/16)} d. {(3/16) - (23i/16), (3/16) + (23i/16)} Q7. Solve the rational equation x/(x-1)+6=1/(x-1) a. {-1} b. {1,-1} c. {1} d. no solution Q8. Find the real solutions of the equation x3 - 5x2 + 6x = 0 by factoring. a. {0, -2, -3} b. {2, 3} c. {-2, -3} d. {0, 2, 3} Q9. Find the real solutions, if any, of the equation 9x2 - 32 = 12x. Use the quadratic formula. a. {8/9, -4/9} b. {-8/3, 4/3} c. {8/3, -4/3} d. {-4/9, -28/9} Q10. Solve the linear equation (x/3) - (1/3) = -4 a. {-11} b. {-13} c. {11} d. {13} Q11. Solve the inequality. Express your answer using interval notation. Graph the solution set. 4x + 1 > 3x - 4 a. (-, -5] b. (-3, ) c. [-5, ) d. (-5, ) Q12. Solve the equation x2 + 144 = 0 in the complex number system. a. {-12, 12} b. {12} c. {12i} d. {-12i, 12i} Q13. Solve x2 - 2x - 24 = 0 by using completing the square. a. {5, -1} b. {-6, 4} c. {-20, -4} d. {6, -4} Q14. Solve the rational equation (4x-1)/(2x+3)=(6x+8)/(3x-4) a. {28/15} b. {-28/53} c. {-20/53} d. {4/3} Q15. Find the real solutions of the equation (x + 3)1/3 = -2. a. {1} b. {-9} c. {-11} d. no real solution Q16. Solve the inequality. Express your answer using interval notation. Graph the solution set. 7 2x + 3 15 a. (-6, -2) b. [-6, -2] c. [2, 6] d. (2, 6) Q17. Find the real solutions of the equation 2x4 - 128x2 = 0 by factoring. a. {-82, 0, 82} b. {0} c. {-8, 0, 8} d. {-8, 8} Q18. Solve x2 - 6x - 27 = 0 by factoring. a. {-3, 9} b. {-3, -9} c. {3, 9} d. (3, -9} Q19. Solve (2x - 3)2 = 49 by using the Square Root Method. a. {4, -10} b. {5, -2} c. {10, -4} d. (2, -5} Q20. Express the graph shown using interval notation. Also express it as an inequality involving x. x> x x x< a. (5, ) 5 b. [5, ) 5 c. (-, 5] 5 d. (-, 5) 5 Q21. Translate the following sentence into a mathematical equation. Be sure to identify the meaning of all symbols. The profit derived from the sale of x video cameras is $370 per unit less the sum of $2700 costs plus $160 per unit. a. If P is profit and x the units sold, then P = 370x - (2700 + 160x) or P = 210x - 2700. b. If P is profit and x the units sold, then P = 370x + 2700 - 160x or P = 210x + 2700. c. If P is profit and x the units sold, then P = 370x - (2700 - 160x) or P = 530x - 2700. d. If P is profit and x the units sold, then P = 370/x - (2700 + 160/x) or P = 210/x - 2700. Q22. Write the inequality using interval notation, and illustrate the inequality using the real number line. -4 x < 3 a. [-4, 3) b. (-4, 3] c. [-4, 3) d. (-, 3) Q23. Graph the circle with radius r = 2 and center (h, k) = (-4, -1). a. b. c. d. Q24. Find an equation for the line that is perpendicular to the line 3x - y = 6 and contains the point (0, 2). a. y = x/3 + 2 b. y = -x/3 + 6 c. y = -x/3 + 2 d. y = 5/3 Q25. Write 17x + 3y = 10 in slope-intercept form. a. y = 17x/3 + 10/3 b. y = 17x - 10 c. y = 17x/3 - 10/3 d. y = -17x/3 + 10/3 Q26. Find an equation for the line with the properties of a vertical line containing the point (-6, -4). a. y = -6 b. x = -6 c. y = -4 d. x = -4 Q27. Find the general form of the equation of the circle with center at the point (2, -3) containing the point (5, -3). a. x2 + y2 + 4x - 6y + 4 = 0 b. x2 + y2 - 4x + 6y + 22 = 0 c. x2 + y2 + 4x - 6y + 22 = 0 d. x2 + y2 - 4x + 6y + 4 = 0 Q28. List the intercepts of the graph. Tell whether the graph is symmetric with respect to the x-axis, yaxis, origin, or none of these. a. intercepts: (0, -5) and (0, 5); symmetric with respect to y-axis b. intercepts: (-5, 0) and (5, 0); symmetric with respect to origin c. intercepts: (0, -5) and (0, 5); symmetric with respect to x-axis, y-axis, and origin d. intercepts: (-5, 0) and (5, 0); symmetric with respect to x-axis, y-axis, and origin Q29. Find an equation for the line in general form Containing the points (-5, -7) and (0, 4). a. 11x - 5y = -20 b. -2x + 4y = -16 c. -11x - 5y = -20 d. 2x - 4y = -16 Q30. Write the standard form of the equation of the circle with radius r = 2 and center (h, k) = (0, 0). a. x2 + y2 = 4 b. x2 + y2 = 2 c. (x - 2)2 + (y - 2)2 = 2 d. (x - 2)2 + (y - 2)2 = 4 Q31. List the intercepts for the graph of the equation y = x3 - 27. a. (0, -3), (-3, 0) b. (0, -3), (0, 3) c. (-27, 0), (0, 3) d. (0, -27), (3, 0) Q32. Find the slope of the line containing the points (-7, 1) and (-8, -5). a. -1/6 b. -6 c. 1/6 d. 6 Q33. Graph the line containing the point P = (-2, -8) and having slope m = 1/2. a. b. c. d. Q34. Graph the following equation by plotting points: y = x3. a. b. c. d. Q35. Graph the follwing equation by plotting points: 5x + 2y = 10. a. b. c. d. Q36. Graph the follwing equation by plotting points: y = 3x + 6. a. b. c. d. Q37. Find the distance d(P1, P2) between the points P1 and P2. P1 = (1, 7); P2 = (-7, -2) a. 17 b. 1 c. 145 d. 72 Q38. If (-5, -5) is the endpoint of a line segment, and (-10, -7) is its midpoint, find the other endpoint. a. (5, -1) b. (-15, -9) c. (-9, -15) d. (-15, -3) Q39. Find the general form of the equation for the line with slope = -2/3 and containing the point (0, 4). a. 2x - 3y = 12 b. 3x + 2y = -12 c. 2x + 3y = 12 d. 2x + 3y = -12 Q40. Find the slope-intercept form of the equation of the line with the properties of a horizontal line containing the point (-2, 7). a. x = 7 b. y = 7 c. x = -2 d. y = -2 Privacy Policy | Contact Us | Copyright 1998-2017 University of Management and Technology (UMT) | Consumer Information Disclosure