1. Write the expression 2i15 - i7 in the standard form a + bi. a. -1 b. i c. -i d. 1 Q2. Evaluate |x|/x + |y|/y given that x = 2 and y = -4. a. 0 b. 2 c. -1 d. 1 Q3. Given w = 9 + 4i, evaluate w - w. a. 8i b. -18 + 8i c. 0 d. 18 Q4. Write the expression -64 and express your answer in the standard form a + bi. a. i8 b. 8i c. -8i d. 8 Q5. Solve P-5Q/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 Q6. Find the real solutions of the equation 24x + 48 = x + 8. a. {-4} b. {6} c. {-3} d. {4} Q7. 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, ) Q8. 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. Q9. Find the real solutions of the equation x + x = 56. a. {8} b. {49} c. {7} d. {64} Q10. 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 Q11. Solve the equation x2 + 144 = 0 in the complex number system. a. {-12, 12} b. {12} c. {12i} d. {-12i, 12i} Q12. Solve x2 - 2x - 24 = 0 by using completing the square. a. {5, -1} b. {-6, 4} c. {-20, -4} d. {6, -4} Q13. 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)} Q14. Tracy can wallpaper 2 rooms in a new house in 8 hours. Together with her trainee they can wallpaper the 2 rooms in 6 hours. How long would it take the trainee working by herself to do the job? a. 8 hr b. 30 hr c. 24 hr d. 44 hr Q15. 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 Q16. 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} Q17. Solve the rational equation x/(x-1)+6=1/(x-1) a. {-1} b. {1,-1} c. {1} d. no solution Q18. Find the real solutions of the equation (x + 3)1/3 = -2. a. {1} b. {-9} c. {-11} d. no real solution Q19. Solve the linear equation (x/3) - (1/3) = -4 a. {-11} b. {-13} c. {11} d. {13} Q20. 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) Q21. Fill in the blank with the correct inequality symbol. If x < 6, then -3x ____ -18. a. < b. c. d. > Q22. Express the graph shown using interval notation. Also express it as an inequality involving x. a. (5, ) x > 5 b. [5, ) x 5 c. (-, 5] x 5 d. (-, 5) x < 5 Q23. Graph the equation (x + 2)2 + (y + 3)2 = 9. a. b. c. d. Q24. 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 Q25. Find the slope of the line containing the points (-7, 1) and (-8, -5). a. -1/6 b. -6 c. 1/6 d. 6 Q26. 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 Q27. List the intercepts of the graph. Tell whether the graph is symmetric with respect to the x-axis, y-axis, 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 Q28. 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 Q29. 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 Q30. 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 Q31. 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) Q32. 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 Q33. List the intercepts for the graph of the equation y = 4x. a. (0, 0) b. (0, 4) c. (4, 4) d. (4, 0) Q34. Graph the following equation by plotting points: y = x3. a. b. c. d. Q35. 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 Q36. Graph the follwing equation by plotting points: y = 3x + 6. a. b. c. d. Q37. Graph the line containing the point P = (-2, -8) and having slope m = 1/2. a. b. c. d. Q38. 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 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 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