Arizona Western College MAT 105 Mathematics for Applied Sciences Final Exam Review Solutions Spring = = 12 (page 43)

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1 Arizona Western College MAT 0 Mathematics for Applied Sciences Final Exam Review Solutions Spring 06 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 -). x (page 4). 4 ( 4 ) ( ) (page 4) (page 4) 4. x 6 + ( 8 ) x 4 + ( 8 ) 8 + (page 4). Measure line segment AB in the figure (Chapter -) A B Length of AB. 6. A casting is machined so that lb of metal remains. If the casting weighted many pounds were removed by machine? (Chapter - page 88) - lb 0 0 lb, how 0 7. Find of ( )( ) (Chapter -4 page 89) Chapter - (page 9-) Portion Rate x Base (P RB) 8. 0% of 400 is what number? P 0. x Eight is 0% of what number? 8 0% x B so B What percent of 0 is 0? R x 0 0 so R 60%. There are women in a class of students. Find the percent of men in the class to the nearest tenth of percent. (Chapter Review Exercises page 0) ( ) x 00% 8.6%

2 . How many inches are in yd? (Chapter 4- page 9) yd 7 7yd ft in yd yd ft 84 inches. Change miles per hour to feet per hour? (Chapter 4- page 69) mi 80 ft ft,840 h h h 4. Change 0 gallons per minute to quart per second? (Chapter 4- page 69) 0gl 4qt min qt min gl 60s s Chapter -6 (pages 44-47). Multiply and express the product in scientific notation. (4 x 0 ) x ( x 0 ) 8 x x 0 6. Divide and express the quotient in scientific notation x (-) x x 0-6 x Raise a number in scientific notation to a power. ( x 0 ) x 0 () 4 x The following temperatures were recorded: 00 o F, 99 o F, 88 o F, and 8 o F. What is the average temperature? ( ) 4 9 o F 9. These hourly pay rates are used at fast-food restaurants: cooks, $8.; servers, $8.9; busser, $7.0; dishwashers, $7.0; managers, $0.. Find the mode and the median pay rate. (Chapter 6- page 7 & 04) The hourly pay rate of $7.0 occurs more than any other rate. It is the mode. The median pay rate is $ 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 0) Subject Grade Hour Quality Points per hour English 0 A 4 History 0 B Philosophy 0 A 4 [( x 4) + ( x ) + ( x 4)] ( + + ).67. Change the temperature of 00 o C to degrees of Fahrenheit. (Chapter 7- page )

3 9 o o + F C F 9 o o o F. Two successive recording for a surgery patient s temperature were 0. o F and 97.8 o F. Express the temperature change with a signed number. (Chapter Review Exercises p. 7) 97.8 o F 0. o F.4 o F Solve the following equations Chapter 7 Review Exercises (pages 66-67). 8x x x x 4. 7x (x 8) 8 7x x x 4 x. m + m Graph the equation of y x Evaluate the formula P a + b + c, if a 0 cm, b 4 cm, and c 4 cm. (Chapter 8- page 8) P 0 cm + 4 cm + 4 cm 8 cm 8. Distance is rate times time, or D RT. Find the rate if the distance traveled 40 miles and the time traveled is 4 hours. (Chapter 8- page 8) 40 mi R x 4 h R 40 4 mi/h Solve the following inequalities. (Chapter 7- page ) 9. t 8 < t < + 8 t < 0 t < 6 0. (7 + x) 0

4 + x 0 x 0 x. 4y 8 > y + 4 4y y > y > y >. Use the formula to find the total resistance (Rt) if one resistance (R) is 9 Ω and the second resistance (R) is 8 Ω. Round to tenths. (Chapter 8 Practice Test page 409) RR R t Rt 4. 4 Ω R + R If a compact car used 6. L of unleaded gasoline to travel 400 miles, how many liters of gasoline would the driver use to travel 0 miles? Round to tenth. (Chapter 8 Practice Test page 409) x x 6. x 0 x The driver used 4.7 gasoline to travel 0 miles Find the equation of a line passing through the given pairs of points. Solve the equation for y. (Chapter 9 pages 448 & 49) 4. ( 4, 0) and (6, 0) y y Slope y 0 x x 6 ( 4) 0. (4, 6) and (7, ) y y Slope x x y 6 (x 4) y 8 x + 6. (, 4) and (, 0) y y 0 ( 4) 4 Slope x x ( ) 7 7. Graph the inequality y x + (Solution - Chapter 9- page 4) y 0 (x ) y x 8. Graph the inequality x + y < (Solution - Chapter 9- page 4)

5 Write the products (Chapter - page 49) 9. ( 8x y)( xy ) 4x y m(m ) m 4 4. (x )( 4 x 4 ) 4x 7 Write the products (Chapter - page 49) 8n 4. 4n n ab 4. 4 a b a b x y 44. 8xy x y Multiply and divide polynomials and simplify the result. (Chapter - pages 0-09) 4. (x + y)(x y) 4x y 46. (m + p)(m mp + p ) m + p 47. (4c d)(6c + 4d + d ) 64c d 48. x 4 x x 6y 49. y y x + x 0. x x +. Find the complementary and supplementary of an angle that measures of 7 o. (Chapter 7- page 7) Complementary: Supplementary:

6 Classify the angle measures using the term right, straight, acute, or obtuse. (Chapter 7- page 76). 8 o Acute. o Obtuse o Right. 80 o Straight Find the following areas cm Area 8.9 x 6.7 cm (Chapter 7- page7-78).0 cm 4.7 cm 7. Area (6 x 0) 0 cm 6 cm 0 cm 8. Area 4 (9 + ) 44 cm 9 cm 4 cm cm Find the following perimeter. (Chapter 7- page7-78) 9. cm Perimeter x 4 0 cm cm ft Perimeter ( 7) + ( ) 76 ft ft ft ft

7 6. Find the area of a sector with a central angle of 0 o in a circle with a radius of in. Round your answer to hundredths. Area r θ (Chapter 7- page 78) 0 A sector π () 6.78 inches 60 0 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 7- page 60 76) 60 S 60π.4 mm Find the volume of a sphere with radius of cm. (Chapter 7-4 page 7) V sphere 4πr 4π.6 cm 64. What the volume of a pyramid that has a square base of 48 meter on a side and a height of 00 meter. (Chapter 7-4 page 7) V Bh m 6. How many cubic inches are in an aluminum can with a inches diameter and 4 inches 4 height? Round to tenths. (Chapter 7-4 page 70) V πr h π( ) 4. in If machines take days to complete a job, how long will it take for 8 machines to do the job? (Chapter 8-4 page 9) 8 x x 7. days

8 67. The birthrates per,000 females ages -9 are in the table. Average White Black Hispanic 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 Legend Names: Which race showed the smallest decrease in birthrates from 990 0? White.