# U of U MATH 1010 - Practice Final Exam (21 pages)

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## Practice Final Exam

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- Pages:
- 21
- School:
- University of Utah
- Course:
- Math 1010 - Intrm Algebra

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Math 1010 Practice Final Exam University of Utah Fall 2009 Name There are 20 problems and each is worth five points So there are 100 points possible You are not allowed to get help from your textbook class notes other students or any other form of outside aid You re only allowed to use scratch paper if you need it If you have questions please ask your instructor You may not talk with other students during the exam Problem Scores 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Total Score 1 1 When Math had Numbers Simplify the fraction 3 4 2 1 10 1 5 2 Absolutely Equal Find the solution s to the equation x 8 2x 1 3 3 Working Together is Fun A master gravedigger can dig Ophelia s grave in five hours An apprentice gravedigger can dig her grave in 8 hours How long does it take the two of them to dig the grave if they work together assuming they don t talk 4 4 Going the Distance Find the distance between the points 1 3 and 4 2 5 5 Find that Line Find an equation for the line with slope 2 and xintercept 5 Note that it says x intercept not y intercept 6 6 Master of Your Domain Find the domain of the function f x x2 1 7 x 2 x2 x 2 7 Working the System Solve the following system of linear equations x 2y 1 x 5y 2 8 8 Not the O reilly Factor Factor the following polynomial 15x2 11x 2 9 9 Keep It Simple Simplify the following expression Your answer must contain only positive exponents 2x 2 y 4 3 y 10x3 y 2 10 10 Add Em Up Perform the indicated operations and simplify x2 x 3 2 9 x 5x 6 11 11 Grow Grow Grow A biologist starts a culture with 100 bacteria The population P of the culture is approximated by the model below where t is the time in hours Find the time required for the population to increase to 800 bacteria P 500 1 3t 5 t 12 12 Thesis Antithesis Synthesis Find the quotient and remainder x5 13x4 120x 80 x 3 13 13 Step One Is Solve the rational equation 15 9x 7 9 x x 2 14 14 Rules for Radicals Simplify the radical expression s 4 15 42y 7 81x4 15 Even More Radical

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