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³1. If a pro basketball player has a vertical leap of about 30 inches. What is his hang time? Use the hang time function V = 48T². 0.79 2. Solve c²+3c-10=0 (c-2)(c+5) Ans is 2,3.Find the greatest common factor. -18a², 3a^5 -18a^5 4. Factor a²+14a+49 (a+7)^2 5. Multiply (6x+2)(3x²+4x+3) = 18x^3+30x^2+26x+6 6. Factor 45-14v+v² (v-9)(v-5) 7. Multiply (v+g)(v²-vg+g²) v^3+g^3 8. Express using a positive exponent s^-5 1/s^5 9. If the sides are lengthened bz 5cm, the area becomes 144cm². Find the length of a side of the original square. (x+5)^2 = 144 Taking square root, x+5=12 => x= 12 cm 10.Use the quadratic formula to solve the equation. 2x²-3x=-4 => 2x²-3x+4=0 D = b2-4ac = 9-32 = -21 So x = (3+i√21)/4 , (3-i√21)/4 11. Use rational exponents to write x^1/3 * y^1/7 * z^1/5 as a single radical expression. (x105y15z21)1/105 12. Identify the degree of each term of the polynomial and the degree of the polynomial. -9x^3+8x²+4x+9 Degree of polynomial = 3 Degree of 1st term =3 Degree of 2nd term =2 Degree of 3rd term = 1 Degree of 4th term =0 13. Factor Completely 25c²-36 (5c-6)(5c+6) 14. Divide and Simplify v^9 v^17 1/v^8 15. Rewrite with positive exponents. (48cd)^-5/7 1/(48cd)^5/7 16. Subtract the polynomials. (-6a²+7a+3)-(6a²+3) -12a²+7a 17. Use rational exponents to simplify. &sup4;√x^20 Not clear 18. Finde the following √(a+8)² (a+8) 19. Find the x-intercept for; y=x²-2x-3 y=(x-1)2-4 x-intercept are (3,0) and (-1,0) 20. Factor the trinomial x³-2x²-8x x(x-4)(x+2) 21. Multiply and simplify y^16 * y^0 y^16 22. What does it mean to refer to a 20-inch TV Set or a 25-inch TV set? Such units refer to the diagonal of the screen. A 20-inch TV set also has a width of 16 inches. What is its height? Height2 = 400-256 =144 So height = 12 inch 23. Add (3s^4-4s³+5s²+16s-8)+(s^5+8s³+5s²-5s+3)+(-6s^4+s²-6s-5) s^5 – 3s^4+4s3+11s2+5s-10 24. Solve r²-5r-50=0 (r-10)(r+5)=0 So r=-5,10 25. Casey usually mows his lawn in 6 hrs. Jackie can mow the same lawn in 3 hrs. How much time would it take for them to mow the lawn together? 2 hrs 26.Solve. 5x²=15 x-intercept of 5x²-15 x-intercept are (√3,0) and (-√3,0) 27. Multiply (-3a)²(4a^5)² -144a7 28. Solve a²+14a-4=0 D = 196+16 =212=4*53 a = -7+2√53,-7-2√53 29. Solve for b 4b(b-1)-5b(b)=3 4b^2-4b-5b^2 = 3 => b^2+4b+3 = 0 D = 16-12 = 4 b = -1,-3 30. Multiply (2√7 - 4√6)(3√7 + 6√6) = 6 (7-24) = -102 31. Factor Completely 25c²+81-90c = 25c²-45c-45c+81 = 5c(5c-9)-9(5c-9) =(5c-9)2 32. Subtract. Simplify by collecting like radical terms if possible. 4√12 - 5√3 =8√3-- 5√3 = 3√3 33. Use the FOIL method to find the product. (8x³-6)(x^8-8) =8x11-6x8-64x3+48 34. State the value of the discriminant -13x²+9x-5=0 D = 81-260 = -179 35. Find the following ²0;√(-8)^20 Not clear 36.Factor out the greatest common factor. 3x^6-12x^5+21x^4 The factorization is= ?? 3 x^4(x^2-4x+7) 3 x^4 is GCF. 37. Convert to decimal notation 8.44 * 10^7 84400000 38.Multiply and simplify ³√x^4 ³√81x^5 = 3x^2³√3x 39. Simplify by removing factor of 1 s²-25 (s-5)² (s+5) 40. In a right triangle find the length of the side not given. b=1 c= √10 ans. h=3 41. Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard for ax²+bx+c=0. Solution= 1, only solution. The equation is ?? Ans. x2-2x+1 = 0 42. Rewrite with a rational exponent &sup7; √21 43. Multiply (b +½)(b+¼) b2+(3/4)b+1/8 44. Divide 25a³+5a²+39a+29) / (5a+3) =5a2-2a+9+ (2/5a+3) 45. Add (5x²-6xy+y²)+(-9x²-9xy-y²)+(x²+xy-8y²) = -3x2-14xy-8y2 46. Perform the indicated operations & simplify. z-8 _ z+1 _ z-27 z-9 z+9 z²-81 Not clear 47.Evaluate the polinomial for x =1 2x²-4x+3 1 48.Find the variation constant and an equation of variation where y varies directly as x and y = 27 when x =9 Variation constant is k = the equation of variation is y = y=kx => k = 27/9=3 eqn is y=3x 49. Subtract and simplify if possible 6-x _ 7x-9 x-9 9-x = (6-x+7x-9)/(x-9) =(6x-3)/(x-9) = 3(2x-1)/(x-9) 50. Factor Completely 28x²+196xy+343y² =7(4x2+28xy+49y2) = 7(2x+7y)2 51. Simplify &sup5;√-1/32 Not clear 52. Solve (x+10)(x-9)(x+8) > 0 solution set is =?? {x| x> 9 or -10<x<-8} 53. Solve 15y^4-19y²+6= 0 Solution is y =?? y = -√(2/3), √(2/3), √(3/5), -√(3/5) 54. Find all numbers for which the rational expression is undefined t³-8t t²-49 t=7,-7 55. Simplify ³√8m^11 y³ Not clear 56. Multiply and simplify 9d² * 2d-2 2d²-4d+2 3d Not clear 57. f(x) = -2x²+2x+4 The x-coordinate of the vertex is ?? The y-coordinate of the vertex is ?? The equation of the line symmetry is x =?? The maximum/minimum of f(x) is ?? The value f(½)= 9/2 is; a. minimum or b. maximum f(x) = -2x²+2x+4 = -2(x2-x-2) = -2((x-1/2)2-9/4) = -2((x-1/2)2 + 9/2 The x-coordinate of the vertex is 1/2 The y-coordinate of the vertex is 9/2 The equation of the line symmetry is x = ½ The maximum value is -9/4 58. Solve 8=9_1 zz5 not clear 59. Solve √7x+36 = x+4 => 7x+36 = x2+8x+16 => x2 + x – 20 = 0 x=-4,-5 60. Rationalize the denominator √c-√d √c+√d = (√c-√d)2/(c+d) 61. Add and simplify if possible. 4t + t t²-16 t-4 = t/(t-4)[ 4/(t+4) +1] =t(t+8)/( t²-16) 63. Divide and simplify 7y-14 ÷ y-2 6 14y Not clear 64. f(x) ½(x+8)² +5 Vertex = (-8,5) Line of symmetry is x = -8 Maximume/minimum value of f(x) = 5 f(-8) = 5 is minimum