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1 PreCalculus Hoors Page Chapter Supplemetal Problems Practice Set A: Factorig Polomials (Page 74) Factor each polomial (assume deotes a positive iteger). 7. 9s t 6s t st ab b a 9. u u v. u v 4u a b 9. a b 6 z a ( ) ( ) 46. ( ) ( ) 48. ( rt rs) ( rt rs) (Hit: add ad subtract ) (Hit: Add ad subtract (Hit: Add ad subtract somethig) Practice Set B: Factorig Quadratic Polomials (Page 79) Factor completel (assume deotes a positive iteger). If the polomial is prime, so state a a 59. ( 5) ( ) ( ) ( ) 6. Practice Set C: Solvig Polomial Equatios (Page 86) Solve. Idetif all double roots t 4t 5t Solve. Idetif all multiple roots. 7. ( ) ( ) 0 8. ( ) ( ) 0 9. ( ) 7( ) ( ) ( ) 0 ( t) t 7 4. ( ) 9 Fid all zeros of f. Idetif all multiple zeros. 4. f ( ) ( ) 4( ) 44. f ( ) ( ) ( ) 46. f ( t) 4t 7t 4 Practice Set D: Solvig Polomial Iequalities (Page 96) Fid ad graph the solutio set of each iequalit. 7. t( t 6) t ( )( )( ) 0

2 Practice Set E: Quotiets of Moomials (Page 05-06) Assume also that m ad are itegers greater tha.. ab. m m ab 5. m m m. rs r s 4. a b 6. a b 7. Practice Set F: Ratioal Fuctios ad Work Problems 0. Carlos drove the first half of a trip at 50 km/h. At what speed should he cover the remaiig half of the distace if his average for the whole trip is to be 60 km/h? Practice Set G: Ratioal Epressios (Page 0-) Simplif z z a b b a z z z a b b a Practice Set H: Products ad Quotiets of Ratioal Epressios (Page 4) Write as a sigle fractio i lowest terms. u v. 6 7 u v 7. u v u v. u 5 uv 6 v u u v uv v u 4uv v u v Practice Set I: Sums ad Differeces of Ratioal Epressios (Page 6-7) Simplif 9. a b a b b a b a a b a b b a b a 0. a b a b a b a b a b a b a b a b.. 6 5a 6a 4a 4u uv 9v uv v. 4. Page

3 5. s s t s t s t 4s t 4u 4u 7. u 4uv 4v u v u 4v Fid costats that make the give equatios true. 7 A B 9. 6 A B C ( )( ) Practice Set J: Comple Fractios (Page 9-0) Simplif a b 8. ab 6. a a a a a A B a b. a b a b a b. 5. a b ab a b a b. a b a b a b a b. a b a b 4. Practice Set K: Fractioal Coefficiets (Page 4-5) Solve each ope setece. 5t.. 4t 4t t t Page

4 Practice Set L: Fractioal Equatios (Page 9) Solve ad check. If o solutios eist, so state Practice Set M: Word Problems (Page 40-4). Members of the Chess Club were assessed equal amouts to raise $900 to redecorate the club room. Whe 6 ew members joied, the per-member assessmet was reduced b $7.50. What was the ew size of the Chess Club?. Whe Acme Airlies chaged to plaes that could fl 00 km/h faster tha its old oes, the time of its 800 km Dallas-Seattle flight was reduced b 0 miutes. Fid the speed of the ew plaes. 8. Pipe A ca fill a tak i 6 hours, ad pipe B ca fill it i hours less time tha it takes draipipe C to empt the tak. With all three pipes ope it takes hours 0 miutes to fill the tak. How log would it take pipe C to empt it?. A umber is the harmoic mea of a ad b if is the average of ad a b. The harmoic mea of ad is 4. Fid. Practice Set N: Review (Page 45-47). Mower A ca mow the village park i hours ad Mower B ca mow it i hours. At 7 a.m., Mower A bega to mow the park ad was joied b Mower B at 7:0 a.m. At what time was the job completed? 4 ad 5. Members of the Ski Club cotributed equall to obtai $500 for a holida trip. Whe four members foud that the could ot go, each remaiig member had to pa $.50 more to raise the ecessar $500. How ma wet o the trip? 5. Kare drove halfwa from A to B at 45 km/h ad the rest of the wa at 90 km/h. What was her average for the whole trip?. A store bought a $000 shipmet of ski jackets ad offered them for sale after a markup of $5 each. All but te were sold, ad the store made a profit of $750. How ma jackets were i the shipmet?. Members of a boatig club were assessed equall to raise $600 to pa for a ew set of sails. Whe si more persos joied the club, the per-member assessmet was reduced b $5.00. What was the ew size of the club? Page 4

5 ANSWERS Practice Set A 7. st( s t) 9. ( )(4 ) 7. ()( ) 8. ( b)( a ) 9. ( u v)( u v). ( u v)( u v) ( ) 5. ( a b )( a b)( a b) 9. 4 ( z a)( z z a a ) 4. ( ) ( )( 9) ( a b)( a ab b )( a b)( a ab b ) ( )( ) 46. ( ) 4r st 49. ( )( ) 5. ( )( ) ( )( ) ( )( ) 56. ( )( ) ( )( ) 58. Practice Set B ( a )( a )( a ) 58. ( a )( a a )( a )( a a ) 59. 4( )( )( ) ( )( ) 6. ( ) ( ) ( ) Practice Set C 9. ( d. r.),( d. r.). 7. ( dr..), 8.,, 0( dr..),,,, 9.,,, 40.,,,, 4., 4.,,5 44. (d.z.), 46..,, Practice Set D t : t or 0 t : or0< 9. all real umbers 5. :, or 0 Page 5 Practice Set E.. rs. 5. m 6. Practice Set F Practice Set G. 4. b a ( )( ) Practice Set H ( uv) 7.. u v. m a ab a b

6 Practice Set I 9. b 0. b(ab 5 4u a b. ( ab)( a b) ( a)( a)( a). 4. ( )( ) u 4uv4v ( u v) ( u v) A, B, C Practice Set J 8.. b a a 6.. ( ) a b ab ( ) ( ) s 5. t s t 6. a v(u v) A, B 40. A, B. ( )( ) b a Practice Set K : 5. b a ab t: 7 7 t 7. : 0 4. : or 0 5. t : t or t Practice Set L 6. {-,5} 8.,,, Practice Set M. 0 members. 0 members. 800 km/h km/h 8. 5 h. 60 jackets. 6 Practice Set N. 8:0 am. 0 Page 6