Precalculus Concepts

Summer 2012 Math Packet for students enteringPrecalculus ConceptsThe problems in this packet are meant to help you review material that youhave learned in previous math courses and will need to understand in orderto be successful in Pre-Calculus Concepts. ALL work should be completed tothe best of your ability.This packet will be due on the second day of class.You will be tested on the material during the first two weeks ofschool.If you cannot remember how to solve some of the problems, check outhttp://www.purplemath.com/modules/index.htm for review lessons.Another excellent review book is the High School Math Review available atwww.summerskills.com. The answer key contains complete solutions to allof the problems. You should be able to do everything EXCEPT any problemcontaining trigonometry (tan, sin, cos), probability, or permutations.Have a great summer. We are looking forward to seeing you this fall.Student Name _________________________________________Previous Course Taken __________________________________Formulas that you should have memorized:Pythagorean Theorem2 2 2a b cQuadratic Formula x 2b b 4ac2a

Part I: Simplify the expressions completely. (Do not use your calculator.)1. 2 726.2(2x 1)( x 2x 3)2.4 3 2(2 a b )(3 ab )7.2(3x 1)3.2xy z8x yz6 24 88.2x 3x 10 x 12( x 1)( x 5) x 44.2 2(4x 5x 3) (7x 6)9.2(4 2)5.2 2( 8x x 5) (2x 2 x)Part II: Factor completely. If you need help with this critical skill, watch these videos:Simple factoring: http://www.youtube.com/watch?v=NzStCbj_kJoHard factoring by decomposition: http://www.youtube.com/watch?v=a7yenMwLzuU10.x214x2413.3 2x x x 4 411.2x 4914.25x 25x12.x14x 494 215.23x14x5

Part III: FunctionsEvaluate.16.2f ( x) x 4x 7; f (2) 17. f ( x) 5x 8; f ( 3)Given f ( x) 3x 8 andg( x)2 x find:18. f (3)21. f ( x) g( x)19. f ( x) g( x)22. f ( g( x ))20. f ( x) g( x)23. g( f (1))Part IV: Equation Solving - Solve for x.24.2( x 4) 812 x 227. 23x6 x 1025.x29 x326.22xx328.22x x5 0