**Unformatted text preview: **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
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one sitting as long as you have saved your answers. Q1. Evaluate (2xy + 35)/x given that x = 5 and y = 7. a. 7 b. 49 c. 9 d. 21
Q2. Evaluate 4|x| + 5|y| given that x = 8 and y = 7. a. 67 b. 3 c. 3 d. 67
Q3. Write the expression √64 and express your answer in the standard form a + bi. a. i√8 b. 8i c. 8i d. ±8
Q4. Choose the graph of the number line that represents x > 7. a. b. c. d. Q5. Find the real solutions of the equation 2x4 128x2 = 0 by factoring. a. {8√2, 0, 8√2} b. {0} c. {8, 0, 8} d. {8, 8}
Q6. 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
Q7. Find the real solutions of the equation √24x + 48 = x + 8. a. {4} b. {6} c. {3} d. {4}
Q8. Fill in the blank with the correct inequality symbol. If x < 6, then 3x ____ 18. a. < b. ≥ c. ≤ d. >
Q9. Find the real solutions of the equation (x + 3) 1/3 = 2. a. {1} b. {9} c. {11} d. no real solution
Q10. Solve (2x 3) 2 = 49 by using the Square Root Method. a. {4, 10} b. {5, 2} c. {10, 4} d. (2, 5}
Q11. 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.
Q12. Solve the rational equation (4x1)/(2x+3)=(6x+8)/(3x4) a. {28/15} b. {28/53} c. {20/53} d. {4/3}
Q13. 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
Q14. 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
Q15. Find the real solutions of the equation x + √x = 56. a. {8} b. {49} c. {7} d. {64}
Q16. The manager of a candy shop sells chocolate covered peanuts for $6 per pound and chocolate covered
cashews for $15 perpound. 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
Q17. Solve the linear equation (x/3) (1/3) = 4 a. {11} b. {13} c. {11} d. {13}
Q18. 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) Q19. Solve the rational equation x/(x1)+6=1/(x1) a. {1} b. {1,1} c. {1} d. no solution
Q20. Solve the equation x2 + 144 = 0 in the complex number system. a. {12, 12} b. {12} c. {12i} d. {12i, 12i}
Q21. 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, ∞) Q22. 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) Q23. 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 Q24. Graph the following equation by plotting points: y = 1/x. a. b. c. d. Q25. 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
Q26. 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
Q27. Graph the follwing equation by plotting points: 5x + 2y = 10. a. b. c. d. Q28. Graph the equation (x + 2) 2 + (y + 3) 2 = 9. a. b. c. d. Q29. Graph the circle with radius r = 2 and center (h, k) = (4, 1). a. b. c. d. Q30. Write the standard form of the equation of the circle with radius r = 2 and center (h, k) = (0, 0). a. x2 + y2 = 4 b. x2 + y2 = 2 c. (x 2)2 + (y 2)2 = 2 d. (x 2)2 + (y 2)2 = 4
Q31. 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
Q32. Graph the line containing the point P = (2, 8) and having slope m = 1/2. a. b. c. d. Q33. 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
Q34. 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
Q35. 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)
Q36. 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
Q37. Find the slope of the line containing the points (7, 1) and (8, 5). a. 1/6 b. 6 c. 1/6 d. 6
Q38. 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
Q39. 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
Q40. 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) Privacy Policy | Contact Us | Copyright © 19982017 University of Management and Technology (UMT) | Consumer Information Disclosure ...

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