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Final Review - Final Review Math 112 Fall 2008 1 Simplify...

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Final Review Math 112 Fall 2008 1. Simplify x 2 y - 3 z - 2 xy 2 x - 4 2 2. Simplify the following 3 r 32 a 12 b 10 c 11 3. Rewrite the expression using rational exponents rather than radicals. Simplify as much as possible. 3 6 x 4 2 x 2 4. Determine the symmetries of the following: xy = y 2 + 2 5. Factor 6 x 3 + 7 x 2 - 5 x 6. Simplify 5 2 x + 2 - 3 x 2 - x + 2 x + 1 7. Simplify the following a x 2 + x a 2 a 2 - ax + x 2 8. Find the equation of the line through the point (1 , - 2) and perpendicular to the line through the points ( - 1 , 1) and (2 , - 3). 9. Determine the center and radius of the circle given by the equation 4 x 2 - 8 x + 4 y 2 + 16 y + 4 = 0 10. Solve the following x 6 - 10 x 4 + 24 x 2 = 0 11. The sum of two positive numbers is one-fourth of their sum. The sum of the squares of the two numbers is 50. Find the two numbers. 12. Solve the following 4 | x - 2 | = 3 x - 4 1
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2 13. Solve the following (2 x - 3) 2 - 4 = 0 14. Solve the following x - 4 / 3 + 3 x - 2 / 3 - 28 = 0 15. Solve the following 2 x - 3 - 3 x + 3 + 3 x - 2 = 0 16. Solve the following x - 1 4 - 2 x + 3 5 x 17. Solve the following 1 2 x -
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