/w EPDw ULLTE3N 7278A295 /w EdAKMB1slQ1 40 Unanswered MATH 105 Exam 1 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. Given z = 3 + 5i and w = -5 + i, evaluate z - w. a. 8 - 4i b. -2 + 6i c. 8 + 4i d. -8 - 4i Q3. Write the expression 6/(2 + 8i) in the standard form a + bi. a. -1/5 + 4i/5 b. 3/17 + 12i/17 c. -1/5 - 4i/5 d. 3/17 - 12i/17 Q4. Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} andB = {2, 3, 5, 7} to find the set B. a. {0, 1, 4, 6, 9} b. {0, 1, 4, 6, 8, 9} c. {0, 1, 4, 6, 7, 8, 9} d. {1, 4, 6, 8, 9} Q5. Find the real solutions of the equation (x + 3)1/3 = -2. a. {1} b. {-9} c. {-11} d. no real solution Q6. The manager of a candy shop sells chocolate covered peanuts for $6 per pound and chocolate covered cashews for $15 per pound. The manager wishes to mix 100 pounds of the cashews to get a cashew-peanut mixture that will sell for $8 per pound. How many pounds of peanuts should be used? a. 225 lb b. 450 lb c. 175 lb d. 350 lb Q7. Solve (2x - 3)2 = 49 by using the Square Root Method. a. {4, -10} b. {5, -2} c. {10, -4} d. (2, -5} Q8. A bank loaned out $70,000, part of it at the rate of 12% per year and the rest at a rate of 6% per year. If the interest received was $5760, how much was loaned at 12%? a. $44,000 b. $26,000 c. $43,000 d. $27,000 Q9. Solve x2 - 2x - 24 = 0 by using completing the square. a. {5, -1} b. {-6, 4} c. {-20, -4} d. {6, -4} Q10. Find the real solutions of the equation 24x + 48 = x + 8. a. {-4} b. {6} c. {-3} d. {4} Q11. Multiply each side of the inequality 2 - 4x -2 by 5. What is the resulting inequality? a. 10 - 20x -10 b. 10 - 20x -10 c. 10 - 4x -10 d. 10 - 4x -10 Q12. During a hurricane evacuation from the east coast of Georgia, a family traveled 210 miles west. For part of thetrip, they averaged 50 mph, but as the congestion got bad, they had to slow to 10 mph. If the total time of travel was 8 hours, how many miles did they drive at the reduced speed? a. 57.5 mi b. 42.5 mi c. 52.5 mi d. 47.5 mi Q13. Find the real solutions of the equation (2x - 1)2 - 10(2x - 1) + 24 = 0. a. {5/2, -3/2} b. {-5/1, 3/2} c. {-7/2, -5/2} d. {7/2, 5/2} Q14. Find the real solutions of the equation x + x = 56. a. {8} b. {49} c. {7} d. {64} Q15. 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)} Q16. Express the graph shown using interval notation. Also express it as an inequality involving x. a. (5, ) x>5 b. [5, ) x5 c. (-, 5] x5 d. (-, 5) x<5 Q17. The net income y (in millions of dollars) of Pet Products Unlimited from 1997 to 1999 is given by the equation y = 9x2 + 15x + 52, where x represents the number of years after 1997. Assume this trend continues and predict the year in which Pet Products Unlimited's net income will be $598 million. a. 2005 b. 2004 c. 2003 d. 2006 Q18. 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} Q19. 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} Q20. Solve the rational equation x/(x-1)+6=1/(x-1) a. {-1} b. {1,-1} c. {1} d. no solution Q21. Solve the linear equation 3(x + 3) = 4(x-6) a. {-15} b. {33} c. {4} d. {-33} Q22. Fill in the blank with the correct inequality symbol. If x < 6, then -3x ____ -18. a. < b. c. d. > Q23. 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 Q24. The lengths of the sides of a triangle are given. Determine if the triangle is a right triangle. If it is, identify the hypotenuse. 8, 16, 20 a. right triangle; 8 b. right triangle; 16 c. right triangle; 20 d. not a right triangle Q25. Graph the following equation by plotting points: y = 1/x. a. b. c. d. Q26. Find an equation for the line that is parallel to the line 8x + 7y = 98 and contains the point (7, 0). a. 8x - 7y = 56 b. 8x + 7y = 56 c. 7x + 8y = 0 d. 7x + 7y = 98 Q27. Find the center (h, k) and radius r of the circle with the given equation (x - 6)2 + (y 2)2 = 16. a. (h, k) = (2, 6); r = 16 b. (h, k) = (6, 2); r = 4 c. (h, k) = (2, 6); r = 4 d. (h, k) = (6, 2); r = 16 Q28. Graph the line containing the point P = (-2, -8) and having slope m = 1/2. a. b. c. d. Q29. Graph the circle with radius r = 2 and center (h, k) = (-4, -1). a. b. c. d. Q30. Find the slope and y-intercept of the line -x + 10y = 70. a. slope = 10; y-intercept = -70 b. slope = -1; y-intercept = 70 c. slope = - 1/10; y-intercept = 7 d. slope = 1/10; y-intercept = 7 Q31. List the intercepts and type(s) of symmetry, if any for y2 = -x + 9. a. intercepts: (-9, 0), (0, 3), (0, -3); symmetric with respect to x-axis b. intercepts: (0, -9), (3, 0), (-3, 0); symmetric with respect to y-axis c. intercepts: (9, 0), (0, 3), (0, -3); symmetric with respect to x-axis d. intercepts: (0, 9), (3, 0), (-3, 0); symmetric with respect to y-axis Q32. List the intercepts for the graph of the equation y = 4x. a. (0, 0) b. (0, 4) c. (4, 4) d. (4, 0) Q33. Find the distance d(P1, P2) between the points P1 and P2. P1 = (0, -4); P2 = (5, -4) a. 41 b. 25 c. 4 d. 5 Q34. 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 Q35. Find the center (h, k) and radius r of the circle with the equation x2 - 16x + 64 + (y + 9)2 = 36. a. (h, k) = (8, -9); r = 6 b. (h, k) = (9, -8); r = 36 c. (h, k) = (-9, 8); r = 6 d. (h, k) = (-8, 9); r = 36 Q36. 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) Q37. The lengths of the sides of a triangle are given. Determine if the triangle is a right triangle. If it is, identify the hypotenuse. 15, 36, 39 a. right triangle; 39 b. right triangle; 15 c. right triangle; 36 d. not a right triangle Q38. 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 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. Graph the following equation by plotting points: y = x3. a. b. c. d. Privacy Policy | Contact Us | Copyright 1998-2017 University of Management and Technology (UMT) | Consumer Information Disclosure