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MAT 209 Week 5 Final Exam This tutorial contains 2 sets of finals with different values 1. Select the difference of (2x2-3x3) - (8x2-6x3) 2. Simplify the following expression 4(4x+1) 3. Select the product of (7x-6)(5x+8) 4. Simplify the following expression (x+8) 3 5. Select the product of (5x+7) (5x-7) 6 Select the product of (8x+7) (x2-6x+5) 7. Select the product of (-6x8) (x3y7) 8. Select the product of (9x-9)(9x-9) 9. Select the product of (3x+7)(7x-3) 10. Select the difference of (2x2-13x+7) - (-1-12x) 11. Factor the expression x2+8x+15 12. Factor the expression x2-11x+24 13. Factor the expression x2-51x+144 14. Factor the expression 21x2+37x+12 15. Factor the expression 30x2+95x+50 16. Factor the expression -14x2-29x-12 17. Factor the expression x2+2x+48 18. Factor the expression 36x2-1 19. Factor the expression y2+14xy+49x2 20. Factor the expression -216x3+1 21. Simplify the following rational expression (x2_25)/ (x2_3x-10) 22. Select the product 9/(x-1).7/(x-3) 23. Select the quotient ((x+4)/(x-1))/ ((x2+x)/(x-1)) 24. Select the difference 3/(2x-1) – 5/(2x-1) 25.Select the sum x/(3x-6)+ (1/8) 26. Select the value of x that is a solution for this equation6/x=7/(x+3) 27.An object 4.2 feet tall casts a shadow that is 12.6 feet long. How long in feet would the shadow be for an object which is 15.9 feet tall? 28. Simplify the expression ∛ (5/64) 29. Simplify the expression √7(7-√7)+5√7

30. Simplify the expression 5/ (8+√7) 31. Solve for x in the equation x2-4x-5=0 32. Consider the equationsf(x)=-6x-1g(x)=4x2Select the solution for (f+g)(x) 33.Consider the equationsf(x)=-6x-1g(x)=4x2Select the solution for (fg)(x) 34. Select the x-coordinate of the vertex of the parabola defined by the function f(x) = -5x2+ 3x + 8. 35.Determine the equation of g(x) that results from translating the function f(x) = x2+5 upward 7 units. 36. Determine the equation of g(x) that results from translating the function f(x) = (x +4)2 to the right 11 units 37. Select the approximate values of x that are solutions to f(x) = 0 where f(x)=2x2+9x+9 38. Select the approximate values of x that are solutions to f(x) = 0 where f(x)=-8x2+5x+5 39. Select the approximate values of x that are solutions to f(x) = 0 where f(x)= -9x2+2x+4 40. Solve for the equation x2-11x+30 41. Given the function f(x)= 9x+7,find its inverse 42. Simplify the logarithm log264. Select the correct solution 43. Select the first five terms in the arithmetic equation an=8n,staring with n=1 44.Select the first five terms in the geometric sequence an=2n-1Starting with n=1 45. Select the sum of the series ∑_(k=1)^5▒〖k^2〗

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