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MATH 105 Exam 1 MATH 105 Exam 1 Page 1 of 5 20 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. Find an equation for the line with the given properties. Express the answer using the general form of the equation of a line. Perpendicular to the line -4x + 5y = -23; containing the point (-3, 7) a. -3x - 5y = -23 b. -4x - 5 = -4 c. -5x + 4y = -13 d. -5x - 4y = -13 Q2. Solve the equation. =1 a. b. c. d. no real solution Q3. Find an equation for the line with the given properties. Express the answer using the slopeintercept form of the equation of a line. horizontal; containing the point (-7, -2) a. x = -7 b. x = -2 c. y = -7 d. y = -2 https://www.umtweb.edu/SRM/CE.aspx?d=2AB76B2AE734905188703E8AA2DFFA759... 7/21/2016 MATH 105 Exam 1 Page 2 of 5 Q4. Write the expression in the standard form a + bi. If w = 9 + 4i, evaluate w a. 0 . b. 18 c. -18 + 8i d. 8i Q5. Inclusive of a 6.4% sales tax, a diamond ring sold for $1702.40. Find the price of the ring before the tax was added. (Round to the nearest cent, if necessary.) a. $108.95 b. $1593.45 c. $1811.35 d. $1600 Q6. Solve the equation. + =- a. {- } b. { } c. { } d. {25} Q7. Solve the equation by completing the square. x + 8x = 7 2 a. {-4 - , -4 + } c. {-1 - , -1 + } b. {-4 - 2 d. { 4 + , -4 + 2 } } Q8. Translate the sentence into a mathematical equation. Be sure to identify the meaning of all symbols. The volume of a right prism is the area of the base times the height of the prism. a. If V represents the volume, B the area of the base, and h the height, then b. If V represents the volume, B the area of the base, and h the height, then c. If V represents the volume, B the area of the base, and h the height, then d. If V represents the volume, B the area of the base, and h the height, then Q9. Find an equation for the line with the given properties. Express the answer using the slopeintercept form of the equation of a line. https://www.umtweb.edu/SRM/CE.aspx?d=2AB76B2AE734905188703E8AA2DFFA759... 7/21/2016 MATH 105 Exam 1 Page 3 of 5 horizontal; containing the point (1.9, -4.7) a. y = 1.9 b. y = 2.8 c. y = 0 d. y = -4.7 Q10. Solve the equation. |x - 4| = 6 a. {-2, 10} b. {-10} c. {2, 10} d. no real solution Q11. Write the expression in the standard form a + bi. a. i b. c. d. - i Q12. Find the real solutions, if any, of the equation. Use the quadratic formula. 9x - 48x + 64 = 0 2 a. { , -24} b. { } c. {- } d. no real solution Q13. Write the general form of the equation of the circle with radius r and center (h, k). r=2 ; (h, k) = (4, -4) a. x + y + 8x - 8y + 20 = 0 2 2 b. x + y + 8x + 8y + 20 = 0 2 2 c. x + y - 8x - 8y + 20 = 0 2 2 d. x + y - 8x + 8y + 20 = 0 2 2 Q14. Solve using the quadratic formula. Round any solutions to two decimal places. x -2 2 x=3 https://www.umtweb.edu/SRM/CE.aspx?d=2AB76B2AE734905188703E8AA2DFFA759... 7/21/2016 MATH 105 Exam 1 Page 4 of 5 a. {-0.21, 14.67} b. {0.82, -14.67} c. {-0.82, 14.67} d. {0.21, -14.67} Q15. List the intercepts of the graph. a. (0, -2), (0, 2) b. (-2, 0), (0, 2) c. (0, -2), (2, 0) d. (-2, 0), (2, 0) Q16. Find the real solutions of the equation by factoring. = a. {7, 1} b. {49, -1} c. {49, 1} d. {7, -1} Q17. An experienced bank auditor can check a bank's deposits twice as fast as a new auditor. Working together it takes the auditors 4 hours to do the job. How long would it take the experienced auditor working alone? a. 12 hr b. 8 hr c. 4 hr d. 6 hr Q18. Find the real solutions of the equation. x - 625 = 0 4 a. {-25, 25} b. {-5, 5} c. {- , d. no real solution } Q19. Find the slope and y-intercept of the line. y=- x+2 https://www.umtweb.edu/SRM/CE.aspx?d=2AB76B2AE734905188703E8AA2DFFA759... 7/21/2016 MATH 105 Exam 1 Page 5 of 5 a. slope = - ; y-intercept = 2 b. slope = - ; y-intercept = - 2 c. slope = 2; y-intercept = d. slope = ; y-intercept = - 2 Q20. How much pure acid should be mixed with 2 gallons of a 50% acid solution in order to get an 80% acid solution? a. 3 gal b. 5 gal c. 8 gal d. 1 gal Privacy Policy | Contact Us | Copyright 1998-2016 University of Management and Technology (UMT) | Consumer Information Disclosure https://www.umtweb.edu/SRM/CE.aspx?d=2AB76B2AE734905188703E8AA2DFFA759... 7/21/2016