MA 15200 Exam 2A Fall 2011 1 1) Solve this equation. What is the solution set? 3162aaa { 2}{1}13207{3}ABCDE 2) When Liam got his car repaired after an accident, he was charged $569 for parts and the remaining part of the bill was mechanic’s labor. If the total bill was $1025 and labor was $48 per hour, how many hours did the mechanic work on his car? 8.5 .9.75 .8.75 .10.25 .None of the above.A hrB hrC hrD hrE 3) A chemist needs 2 liters of a solution that is 35% hydrochloric acid. She has 20% and 60% hydrochloric acid solutions available. If x represents the amount of 20% solution she uses, which equation could be used to solve for x? 0.2 0.6(2 ) 0.35(2)0.2 0.6 0.35(2)0.2 0.6(2 ) 20.2 0.6( 2) 0.35(2)0.2 0.6(2) 0.35A x xB x xC x xD x xE x x MA 15200 Exam 2A Fall 2011 2 4) Subtract: 2 25 6 49 4 128 124 128242AiBiCiDiEi 5) Multiply: 1212 10 4ii 43 4648 5153 4643 46None of the above.AiBiCiDiE 6) One of the solutions of the equation below can be described by which of the following? 11232xx 123232525 2It is greater than , but less than 1.It is at least 1, but less than .It is at least , but less than 2.It is at least 2, but less than .It is or greater.ABCDEMA 15200 Exam 2A Fall 2011 3 7) A rectangular garden measures 15 feet by 11 feet and is surrounded by a walkway of uniform width as shown. If the area of the garden plus the walkway is 285 square feet and x represents the width of the walkway, which simplified equation could be used to find the width of the walkway? 8) Two hoses working together can fill a tank in 2 hours. The smaller hose, working alone, can fill the tank in 3 hours more time than the larger hose alone. How long would it take the larger hose alone to fill the tank? A 2 hours B 2 ½ hours C 3 ½ hours D 4 hours E 3 hours 9) Solve the equation. Select the correct statement. 42 2 3xx A There are two solutions, both positive. B There are two solutions, one positive and the other negative. C There are two solutions, both negative. D There is one positive solution. E There is one negative solution. x 2222213 30 026 120 013 30 013 30 026 120 0A x xB x xC x xD x xE x x 15 11 x x x xMA 15200 Exam 2A Fall 2011 4 10) Which number line correctly illustrates the solution of 213x ? A [ ] 51 B ] [ C ( ) D ] E None of the above. 11) Which point (x, y) would be a distance of 5 units from the point( 2,5)? ( 1,1)( 1, 1)(1, 1)(2,2)( 2,2)ABCDE 12) If 2( 1)( ) ,1xfxx find and simplify ( 1)fx 2( 1)121( 1)222( 1)22( 1)2( 1) 2 2xA f xxxB f xxxC f xxxD f xxE f x x 51 51 1MA 15200 Exam 2A Fall 2011 5 13) Given the piece-wise function 3 1 if 1()2 if 13xxfxxx, evaluate (1) and (4).ff 10310373(1) 2, (4) 2(1) 2, (4)(1) 1, (4)(1) 1, (4) 2(1) , (4) 2A f fB f fC f fD f fE f f 14) Solve the equation. 24 8 0aa 2 4 3, 2 4 34 2 , 4 22 2 , 2 22 2 3, 2 2 34 , 4AaB a i iC a i iDaE a i i 15) Solve: 328 64 x
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