MA 153 Exam 1A Fall 2005 1. Evaluate. () ( )52435 −+ above theof None .75 .45 .105 .155.EDCBA 2. Simplify. Do not leave negative exponents in your answer. ()334232⎟⎟⎠⎞⎜⎜⎝⎛−−−aabba above theof None. 2.2.2.2.5106101529EbaDbaCbaBbaA−− 3. Simplify. ()2332 +−− above theof None.1.873.1.871.EDCBA− 1MA 153 Exam 1A Fall 2005 4. Rationalize the denominator and simplify. 323 yxxy 24242223 . 33.91 .93 . 31.xyExyxDyxCyxxyBxyA 5. Perform the indicated operations and express as a polynomial. ()()()533122−+−+− xxxx above theof None.22.23.85 .88.2222ExxDxxCxxBxxA++++−+−+ 6. Which of the following is a factor of ? 35122−− xx 34. 16. 32.13.14.−−+−+xExDxCxBxA 2MA 153 Exam 1A Fall 2005 7. Factor completely. 12416yx − ()()()(()()()()()43236226226233622622 .24.44.224.4.yxEyxyxDyxyxCyxyxyxByxA−−+−+−++−) 8. Simplify. 1624542−+−−+xxxxx ()()()()()()()()above theof None .4420.44205.4453 .44207.222ExxxxDxxxxCxxxBxxxxA−+++−++−−+−−+−− 9. Simplify. 168321432222++−−⋅−−+xxxxxxx ()(()( ))()()2343 .23 .41132.41 .432.+−−+−−−+−−++−xxxExxDxxxxCxxBxxA 3MA 153 Exam 1A Fall 2005 10. Simplify. ()()hxhx 3322+−++ above theof None .2.62.6 ..22EhxDhhxhChhBhA++++ 11. Solve the following equation. Choose the answer that best describes the solution. ()()13211241+=+ xx .for solution no is There. .2an greater th is . .2 and 0between is . .0 and 2between is . .2 than less is .xExDxCxBxA−− 12. Solve 3211+=pw for . p()wwpEwpDwwpCwwpBwpA−=−=−=+=−=13 .332 .233 .32.232. 4MA 153 Exam 1A Fall 2005 13. Four hundred people attended a school play. Adult tickets cost $4 and children tickets were $2. School receipts totaled $1,400 for the play. If x represents the number of adult tickets purchased, find the equation that would be used to find x. ()()()()140040024 .140024004 .140040024 .140024004 . 140024.=−+=+−=−+=+−=+xxExxDxxCxxBxxA 14. A lawyer’s time is billed at $70 per hour. The research assistant, who really does all the work, is billed at 54 of this amount per hour. A recent client who received a bill for $975 knows that the assistant worked one hour more than twice the number of hours worked by the lawyer. Find the number of hours that the lawyer worked. Round your answer to the nearest whole number. above theof None .hours 14 .hours 7 .hours 5 .hours 3.EDCBA 15. A truck and a car are 155 miles apart on a straight road. The car starts driving towards the truck at 60 mph. Thirty minutes later, the truck starts driving towards the car at 40 mph. How long after the car starts driving will they meet? minutes. 55 andhour 1 .minutes. 30 and hours 2 .minutes. 45 andhour 1.minutes. 15 and hours 2 . minutes. 35 andhour 1 .EDCBA
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