Evaluate |x|/x + |y|/y given that x = 2 and y = -4. a. 0 b. 2 c. -1 d. 1 B = {18, 6, -11, 0, 0/3, 0.33, -6, 0.999...}. List all the elements of B that are irrational numbers. a. {6, -6p, 0.999...} b. {6, 0/3, -6} c. {6} d. {6, -6} Choose the graph of the number line that represents x 3. a. b. c. d. Given w = 9 + 4i, evaluate w - w. a. 8i b. -18 + 8i c. 0 d. 18 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)} Solve the rational equation (4x-1)/(2x+3)=(6x+8)/(3x-4) a. {28/15} b. {-28/53} c. {-20/53} d. {4/3} 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 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} 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 Solve the linear equation (x/3) - (1/3) = -4 a. {-11} b. {-13} c. {11} d. {13} 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 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} 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. 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 Solve x2 - 6x - 27 = 0 by factoring. a. {-3, 9} b. {-3, -9} c. {3, 9} d. (3, -9} 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} 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 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)