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You have to carefully check for typos in the questions! 1. 4 z 2z 7 z 8 8 z z-3 z-8 2. Jack usually mows his lawn in four hours. Marilyn can mow the same lawn in 3 hours How much time would it take for them to mow the lawn together? 1 5/7 (that’s 1 and 5/7) 3. 2 x 7 4 x 2 5x 8) 8x^3+ 51x + 38x^2 + 56 4. Find the greatest common factor for the group of terms 18a 2 ,3a 3 3a^2 5. Multiply and simplify 4c 2 2c 8 2 2c 2c 16c 32 2c c-4 6. Use the quadratic formula to solve the equation 2 x 2 3x 6 You have to carefully check for typos in the questions! 7. Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. u v u v 8. 3x 2 5 x 5 (Evaluate the polynomial for x=0) When x=0, 3x 2 5 x 5 Ans = 5 9. Find all the numbers for which the rational expression is undefined q 3 3q q 2 36 -6, 6 10. In a right triangle, find the length of the side not given b=2, c= Ans = 5 29 The third side is? 11. Solve w 2 4w 21 0 -3, 7 12. Find the vertex, line of symmetry, min/max value of 2 x^2 2 x 6 f(x)= You have another typo here… X = 1/2 Y = 13/2 Symm: x = 1/2 Maximum is 13/2 You have to carefully check for typos in the questions! 13. Find the vertex, line of symmetry, min/max value of 1 f(x) = ( x 3) 2 5 2 vert: (-3, 5) Symm: x = -3 Minimum is 5 14. Solve 3 / v 9 / v 1 / 5 30 15. Find the variation constant and an equation of variation where y varies directly as x and y = 42 when x = 6 K=7 y = 7x 16. Find a polynomial for the perimeter and for the area d+8, d Perim = 4d + 16 Area = d^2 + 8d 17. Television sets: What does it mean to refer to a 20 in tv set or a 25 in tv set? Such units refer to the diagonal of the screen. A 25 in tv set also has a width of 20 inches. What is its height? You have to carefully check for typos in the questions! Height = 15 18. Add 2x 2 9 xy y 2 5x 2 4 xy y 2 x 2 xy 3 y 2 -2x^2 – 12xy – 3y^2 19. Multiply 2 2 4 6 5 2 10 6 -220 20. Factor the trinomial r 3 5r 2 36r r(r-9)(r+4) 21. Simplify 1 3 27 -1/3 22. Find the x-intercepts for the graph of the equation y x 2 2x 3 (-3, 0), (1, 0) 23. If the sides of a square are lengthened by 8cm, the area becomes 169cm^2. Find the length of a side of the original square. Answer = 5 24. Factor completely 36a 2 49 (6a-7)(6a+7) You have to carefully check for typos in the questions! 25. Factor completely a 7 That’s not the question… I think it says to express with positive exponents. But the answer is: 1 a^7 26. Multiply 1 1 v v 5 4 v^2 + 9/20 v + 1/20 27. Multiply a p a 2 ap p 2 a^3 + p^3 28. Solve x^2 + 14x - 4 = 0 -7+√53, -7-√53 29. Simplify by removing factors of 1 2q 2 2q 18q 2 4q q+1 9q+2 30. Convert to decimal notation 8.08 x 10^7 80800000 You have to carefully check for typos in the questions! 31. Solve 15 x 4 13x 2 2 0 32. Find the following 14 6 14 6 33. Multiply and simplify by factoring. Assume all expressions under radicals represent non negative numbers 3 3y 5 3 y7 3 81y 8 3 34. Subtract the polynomials 13a 2 7a 4 6a 2 4 -19a^2 + 7a 35. Solve v 3v 18 0 -6, 3 2 36. Subtract. Simplify by collecting like radical terms if possible 2 12 2 3 2√3 37. Divide and Simplify 2 z 16 2 8 77 49 z 14z 11 You have to carefully check for typos in the questions! 38. Solve x 9x 17x 4 0 -9 < x < -4 or x > 17 39. Factor 40 14v v^2 (v-10)(v-4) 40. Use rational exponents to simplify. Complete the expression 3 x12 0 (that is a three over the front of the square root symbol) Answer is 4 41. Rewrite the following expression with positive exponents (25xy) 2 5 1 / (25xy) ^ 2/5 42. Factor completely 6 x 30 x 4 42 x 3 5 6x^3 (x^2 – 5x + 7) 43. Factor s 2 8s 16 = (s+4)(s+4) 44. Identify the degree of each term of the polynomial and the degree of the polynomial 3 3x 6 x 2 2 x 6 First = 3, then 2, 1, 0, 3 You have to carefully check for typos in the questions! 45. Find the following. Assume that variables can represent any real number a 12 |a+1| (note the ||) 46. Multiply and simplify. Assume variables represent nonzero real numbers a a0 11 a^11 47. Divide and simplify u7 u 19 1 u^12 48. Simplify by taking roots of the numerator and the denominator. Assume all expressions under radicals represent positive numbers 3 64 x 5 y3 49. Solve 4x 2 8 Find the x-intercepts of f(x)=4x 2 8 Sol: √2, -√2 Inter: (√2, 0), (-√2, 0) 50. Perform indicated operations and simplify y 8 y 1 y 27 y 9 y 9 y 2 81 10 y+9 You have to carefully check for typos in the questions! 51. Rewrite with rational exponent 3 23 23 ^ 1/3 52. Multiply (-3x) 2 2x 8 3 72x^26 53. Use rational exponents to write 1 4 1 6 x y z 1 7 84throot(x^21y^14z^12) 54. Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax 2 bx c 0 Solution: 1, only solution x^2-2x+1 55. If a pro basketball player has a vertical leap of about 30 inches, what is his hang time? Use the hang time function V=48T^2 You left off the part where it says to round to the tenth… 0.8 56. Factor completely 63v 2 294vf 343 f 2 7(3v+7f)(3v+7f) 57. For the following equation state the value of the discriminant and then describe the nature of solutions 7 x 2 6 x 5 0 Is there one or two real, or two imaginary solutions? D = -104 Two imaginary You have to carefully check for typos in the questions! 58. Add 5s 4 4s 3 5s 2 14s 7 (s 5 8s 3 3s 2 5s 2) (8s 4 s 2 4s 5) Check VERY carefully for typos from mathlab… s^5 + 13s^4 + 4s^3 + 9s^2 + 5s - 10 59. Solve for x 4x(x-1)-5x(x)=3 -3, -1 60. Use the FOIL method to find the product ( 4 x 8 2)( x 9 5) 4x^17 – 2x^9 – 20x^8 + 10 61. Add and simplify if possible 5r r 2 r 25 r 5 r^2 + 10r r^2 - 25 62. Simplify by factoring. Assume all exponents under radicals represent nonnegative numbers 50a 2b 5a √2b 63. Simplify by removing factors of 1 s2 4 s 22 s-2 s+2 64. Divide 25b 3 10b 2 27b 31 5b 4 5b^2 -2b + 7 + 3/(5b+4) You have to carefully check for typos in the questions! 65. Factor completely 9t 2 25 30t (3t-5)(3t-5) 66. Solve x= 4 3x 24 x 2