Arizona Western College MAT 105 Mathematics for Applied Sciences Final Exam Review Spring 016 Student NAME You are expected to show your process. That means show how you get from the initial problem to your answer. Evaluate the expression (Chapter 1-) 1. 5 x.9 4 (page 4). 4 ( 4 ) ( ) + (page 4). 7 + 15 7 0 (page 4) 4. x 16 + ( 8 5 ) (page 4) 5. Measure line segment AB in the figure (Chapter -) A B Length of AB =. 6. A casting is machined so that 1 lb of metal remains. If the casting weighted 5 many pounds were removed by machine? (Chapter - page 88) 5 lb, how 10
7. Find 1 of 5 (Chapter -4 page 89) Chapter - (page 119-11) Portion = Rate x Base 8. 0% of 400 is what number? (P = RB) 9. Eight is 10% of what number? 10. What percent of 50 is 0? 11. There are 5 women in a class of 5 students. Find the percent of men in the class to the nearest tenth of percent. (Chapter Review Exercises page 150) 1. How many inches are in 1 yd? (Chapter 4-1 page 159) 1. Change miles per hour to feet per hour? (Chapter 4-1 page 169) 14. Change 0 gallons per minute to quart per second? (Chapter 4-1 page 169) Chapter 5-6 (pages 44-47) 15. Multiply and express the product in scientific notation. 16. Divide and express the quotient in scientific notation. 17. Raise a number in scientific notation to a power. 18. The following temperatures were recorded: 100 o F, 99 o F, 88 o F, and 81 o F. What is the average temperature? 19. These hourly pay rates are used at fast-food restaurants: cooks, $8.5; servers, $8.95; busser, $7.0; dishwashers, $7.0; managers, $10.5. Find the mode and the median pay rate. (Chapter 6- page 7 & 04)
0. Ezell Allen earned the final grades listed in Table for the past term. Find the QPA (quality point average) to the nearest hundredth. (Chapter 6 Review Exercises page 05) Subject Grade Hour Quality Points per hour English 01 A 4 History 0 B Philosophy 101 A 4 1. Change the temperature of 100 o C to degrees of Fahrenheit. (Chapter 7-5 page 51) 9 o o + F = C 5. Two successive recording for a surgery patient s temperature were 10. o F and 97.8 o F. Express the temperature change with a signed number. (Chapter 5 Review Exercises p. 57) Solve the following equations Chapter 7 Review Exercises (pages 66-67). 8x x = 6 + 9 4. 7x (x 8) = 8 5. m + 1 = 4 4 6. Graph the equation of y = x +.
7. Evaluate the formula P = a + b + c, if a = 50 cm, b = 4 cm, and c = 45 cm. (Chapter 8-1 page 81) 8. Distance is rate times time, or D = RT. Find the rate if the distance traveled 140 miles and the time traveled is 4 hours. (Chapter 8-1 page 81) Solve the following inequalities. (Chapter 7-5 page 51) 9. 5 t 18 < 1 0. (7 + x) 0 1. 4y 8 > y + 14. Use the formula to find the total resistance (Rt) if one resistance (R1) is 9 Ω and the second resistance (R) is 8 Ω. Round to tenths. (Chapter 8 Practice Test page 409) R1R R t = R + R 1. If a compact car used 6.5 L of unleaded gasoline to travel 400 miles, how many liters of gasoline would the driver use to travel 50 miles? Round to tenth. (Chapter 8 Practice Test page 409) Find the equation of a line passing through the given pairs of points. Solve the equation for y. (Chapter 9 pages 448 & 459) 4. ( 4, 0) and (6, 0) 5. (4, 6) and (7, 1) 6. (, 4) and (5, 10)
7. Graph the inequality y x + 1 (Solution - Chapter 9- page 4) 8. Graph the inequality x + y < (Solution - Chapter 9- page 4) Write the products (Chapter 11-1 page 495) 9. ( 8x y)( xy ) 40. m(m ) 41. (x )( 4 x 4 )
Write the products (Chapter 11-1 page 495) 8n 4. 4n ab 4. 4 a b 1x y 44. 18xy 5 Multiply and divide polynomials and simplify the result. (Chapter 11- pages 505-509) 45. (x + y)(x y) 46. (m + p)(m mp + p ) 47. (4c d)(16c + 4d + d ) 48. x 4 x 6y 49. y 5 x + x 50. x 51. Find the complementary and supplementary of an angle that measures of 57 o. (Chapter 17- page 711) Complementary: Supplementary:
Classify the angle measures using the term right, straight, acute, or obtuse. (Chapter 17- page 716) 5. 8 o 5. 15 o 54. 90 o 55. 180 o Find the following areas. 56. 8.9 cm (Chapter 17- page75-78).0 cm 4.7 cm 57. 6 cm 58. 10 cm 9 cm 4 cm 1 cm Find the following perimeter. (Chapter 17- page75-78) 59. 5 cm 5 cm 60. 7 ft 15 ft 5 ft ft
61. Find the area of a sector with a central angle of 50 o in a circle with a radius of 1 in. Round your answer to hundredths. Area = r θ (Chapter 17- page 78) 50 o 6. Find the arc length of the sector formed by a 60 o central angle if the radius of the circle is 0 θ mm. s = (πr) (Chapter 17- page 60 76) 6. Find the volume of a sphere with radius of 5 cm. (Chapter 17-4 page 751) 64. What the volume of a pyramid that has a square base of 48 meter on a side and a height of 100 meter. (Chapter 17-4 page 751) 1 65. How many cubic inches are in an aluminum can with a inches diameter and 4 inches 4 height? Round to tenths. (Chapter 17-4 page 750) 66. If 5 machines take 1 days to complete a job, how long will it take for 8 machines to do the job? (Chapter 8-4 page 95)
67. The birthrates per 1,000 females ages 15-19 are in the table. Average White Black Hispanic 1990 59.9 4.5 116. 100. 199 60. 41.7 114.7 10. 1994 58. 40.4 105.7 101. 1996 5.5 7.6 91.9 94.6 1998 50. 5. 85.7 87.9 000 47.7.6 79. 87. 00 4.6 8.6 67.7 80.6 004 40.5 6.7 61.8 78.1 006 41.1 6.7 61.9 77.4 008 40. 6.7 60.4 70. 010 4..5 51.5 55.7 01 9.4 0.5 4.9 46. This data is also graphed in the figure below.provide a title, label the axes, and complete the legend as you would if preparing this for public display. 140 10 100 80 60 40 0 Legend Names: 0 1990 199 1994 1996 1998 000 00 004 006 008 010 01 Which race showed the smallest decrease in birthrates from 1990 01?.