2/28/2017 MATH 105 Exam 1 MATH 105 Exam 1 15 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 (3 + 5i)(8 + 2i) in the standard form a + bi. a. 34 + 34i b. 14 46i c. 14 + 46i d. 10i2 + 46i + 24 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. Evaluate 10xy + 8y 9 given that x = 1 and y = 3. a. 15 b. 63 c. 3 d. 6 Q5. 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)} Q6. Solve (2x 3) 2 = 49 by using the Square Root Method. https://www.umtweb.edu/SRM/CE.aspx?d=E2D8034C803A44A622B266863904000AEC65AE0E69917A4E0B8B7C825D08A8262224423FF6BE3118 1/15 2/28/2017 MATH 105 Exam 1 a. {4, 10} b. {5, 2} c. {10, 4} d. (2, 5} Q7. Find the real solutions of the equation 24x + 48 = x + 8. a. {4} b. {6} c. {3} d. {4} Q8. Solve P5Q/3=(P+7)/2+1 for P. a. P = (15 10Q)/3 b. P = (27 + 10Q)/3 c. P = (27 10Q)/3 d. P = (15 + 10Q)/3 Q9. An inheritance of $210,000 is to be divided among Chris, Kelly, and Julie in the following manner: Kelly is to receive 3/5 of what Chris gets, while Julie gets 1/2 of what Chris gets. How much does Kelly receive? a. $20,000 b. $60,000 c. $100,000 d. $50,000 Q10. 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 Q11. Solve x2 6x 27 = 0 by factoring. a. {3, 9} b. {3, 9} c. {3, 9} d. (3, 9} Q12. 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) https://www.umtweb.edu/SRM/CE.aspx?d=E2D8034C803A44A622B266863904000AEC65AE0E69917A4E0B8B7C825D08A8262224423FF6BE3118 2/15 2/28/2017 MATH 105 Exam 1 Q13. Find the real solutions of the equation (x + 3) 1/3 = 2. a. {1} b. {9} c. {11} d. no real solution Q14. 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} Q15. 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 Q16. 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 Q17. 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, ) Q18. 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} https://www.umtweb.edu/SRM/CE.aspx?d=E2D8034C803A44A622B266863904000AEC65AE0E69917A4E0B8B7C825D08A8262224423FF6BE3118 3/15 2/28/2017 MATH 105 Exam 1 c. {8/3, 4/3} d. {4/9, 28/9} Q19. 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 Q20. Find the real solutions of the equation x + x = 56. a. {8} b. {49} c. {7} d. {64} Q21. Solve the equation x2 + 144 = 0 in the complex number system. a. {12, 12} b. {12} c. {12i} d. {12i, 12i} Q22. Solve the linear equation (x/3) (1/3) = 4 a. {11} b. {13} c. {11} d. {13} Q23. 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 xaxis b. intercepts: (0, 9), (3, 0), (3, 0) symmetric with respect to yaxis c. intercepts: (9, 0), (0, 3), (0, 3) symmetric with respect to xaxis d. intercepts: (0, 9), (3, 0), (3, 0) symmetric with respect to yaxis Q24. Graph the circle with radius r = 2 and center (h, k) = (4, 1). a. https://www.umtweb.edu/SRM/CE.aspx?d=E2D8034C803A44A622B266863904000AEC65AE0E69917A4E0B8B7C825D08A8262224423FF6BE3118 4/15 2/28/2017 MATH 105 Exam 1 b. c. d. https://www.umtweb.edu/SRM/CE.aspx?d=E2D8034C803A44A622B266863904000AEC65AE0E69917A4E0B8B7C825D08A8262224423FF6BE3118 5/15 2/28/2017 MATH 105 Exam 1 Q25. Write 17x + 3y = 10 in slopeintercept form. a. y = 17x/3 + 10/3 b. y = 17x 10 c. y = 17x/3 10/3 d. y = 17x/3 + 10/3 Q26. Graph the follwing equation by plotting points: y = 3x + 6. a. b. https://www.umtweb.edu/SRM/CE.aspx?d=E2D8034C803A44A622B266863904000AEC65AE0E69917A4E0B8B7C825D08A8262224423FF6BE3118 6/15 2/28/2017 MATH 105 Exam 1 c. d. Q27. 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 Q28. Graph the line containing the point P = (2, 8) and having slope m = 1/2. https://www.umtweb.edu/SRM/CE.aspx?d=E2D8034C803A44A622B266863904000AEC65AE0E69917A4E0B8B7C825D08A8262224423FF6BE3118 7/15 2/28/2017 MATH 105 Exam 1 a. b. c. https://www.umtweb.edu/SRM/CE.aspx?d=E2D8034C803A44A622B266863904000AEC65AE0E69917A4E0B8B7C825D08A8262224423FF6BE3118 8/15 2/28/2017 MATH 105 Exam 1 d. Q29. Find the slopeintercept 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 Q30. Find the midpoint of the line segment joining the points P1 and P2. P1 = (1, 6) P2 = (5, 3) a. (6, 9) b. (2, 3/2) c. (4, 3) d. (3, 9/2) Q31. 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 Q32. 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 Q33. Graph the equation (x + 2) 2 + (y + 3) 2 = 9. https://www.umtweb.edu/SRM/CE.aspx?d=E2D8034C803A44A622B266863904000AEC65AE0E69917A4E0B8B7C825D08A8262224423FF6BE3118 9/15 2/28/2017 MATH 105 Exam 1 a. b. c. https://www.umtweb.edu/SRM/CE.aspx?d=E2D8034C803A44A622B266863904000AEC65AE0E69917A4E0B8B7C825D08A8262224423FF6BE3118 10/15 2/28/2017 MATH 105 Exam 1 d. Q34. Graph the follwing equation by plotting points: 5x + 2y = 10. a. b. https://www.umtweb.edu/SRM/CE.aspx?d=E2D8034C803A44A622B266863904000AEC65AE0E69917A4E0B8B7C825D08A8262224423FF6BE3118 11/15 2/28/2017 MATH 105 Exam 1 c. d. Q35. 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 Q36. 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 Q37. Find the slope and yintercept of the line x + 10y = 70. a. slope = 10 yintercept = 70 b. slope = 1 yintercept = 70 c. slope = 1/10 yintercept = 7 d. slope = 1/10 yintercept = 7 https://www.umtweb.edu/SRM/CE.aspx?d=E2D8034C803A44A622B266863904000AEC65AE0E69917A4E0B8B7C825D08A8262224423FF6BE3118 12/15 2/28/2017 MATH 105 Exam 1 Q38. Graph the following equation by plotting points: y = x3. a. b. https://www.umtweb.edu/SRM/CE.aspx?d=E2D8034C803A44A622B266863904000AEC65AE0E69917A4E0B8B7C825D08A8262224423FF6BE3118 13/15 2/28/2017 MATH 105 Exam 1 c. d. Q39. 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 Q40. 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 https://www.umtweb.edu/SRM/CE.aspx?d=E2D8034C803A44A622B266863904000AEC65AE0E69917A4E0B8B7C825D08A8262224423FF6BE3118 14/15 2/28/2017 MATH 105 Exam 1 Privacy Policy | Contact Us | Copyright 19982017 University of Management and Technology (UMT) | Consumer Information Disclosure https://www.umtweb.edu/SRM/CE.aspx?d=E2D8034C803A44A622B266863904000AEC65AE0E69917A4E0B8B7C825D08A8262224423FF6BE3118 15/15