MAC 1105 College Algebra Sample Test P Chapter P In problems 1 - 9, do as indicated. 1. Simplify: 5 в€’ 6[7 в€’ (3a в€’ 4)] вЋ› в€’20w12 y 7 вЋћ 2. Simplify: вЋњ 16 в€’5 вЋџ вЋќ 10w y вЋ 3. Evaluate: 16 в€’ 1 4 (2y ) 1/ 5 4. Simplify: 3 4 y 3/10 4 3 8 + 8 + 3 16 в€’ 64 5. Simplify: 6. Rationalize the denominator: 7. Simplify: 3 16x8 y 4 8. Find the product: ( xy 2 в€’ 4) 2 In problems 9 - 15, factor completely. 9. x3 + 2 x 2 в€’ 49 x в€’ 98 10. x 4 в€’ 81 11. 36 x 2 + 84 x + 49 12. 2 x3 + 250 13. x 2 + 10 x + 25 в€’ 36 y 2 1/7/2010 5 2 в€’3 In problems 14 - 16, perform the indicated operations and simplify: 14. xв€’2 x+2 в€’ x в€’ 1 x2 в€’ 1 15. ( 16. ) 8 x 3 в€’ 27 y 3 Г· 8 x 2 + 12 xy + 18 y 2 2x в€’ 3y xв€’3 3 xв€’ xв€’2 17. The weekly cost, in thousands of dollars, for producing x stereo headphones is 30 x + 50 . The weekly revenue, in thousands of dollars, for selling x stereo headphones is 90x 2 в€’ x . Write a polynomial in standard form for the weekly profit, in thousands of dollars, for producing and selling x stereo headphones. 18. The time, in seconds, that it takes an object to fall a distance d, in feet, is given by the algebraic expression d . Find how long it will take a ball dropped from the 16 top of a building 320 feet tall to hit the ground. Write the answer in simplified radical form. 1/7/2010
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