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1. Express using a positive exponent...

1. Express using a positive exponent k^-9

2. Subtract, simplify 2-v/v-3 – 4v-9/3-v

3. Find the variation constant and an equation of variation where y varies directly as x and y =28 when x=4. What is the variation constant of k and the equation of variation is y=?

4. Use FOIL method to find the product (8x^3-8)(x^5-6)

5. 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:2, only solution. The equation is ? =0

6. Find all numbers for which the rational expression is undefined m^3-5m/m^2-16

7. Divide and simplify 7w-63/6 divided by w-9/22w

8. Factor the trinomial s^3-2s^2-63s

9. Rewrite with a rational exponent 4v23

10. Use rational exponents to simplify 4vx^20 What is x =

11. Identify the degree of each term of the polynomial and the degree of the polynomial -2x^3+3x^2+5x+9. What degree is the first, second, third and fourth term and also what the degree of the polynomial

12. Solve: b^2-3b-28=0

13. Use rational exponents to write x1/5•y1/3•z1/9 as a single radical expression.

14. Divide and simplify x2/x18

15. Simplify by factoring. Assume that all expression under radicals represents nonnegative numbers. v50a2b

16. Find the following 14v(-2)14

17. Simplify by removing factors of 1. r2-1/(r+1)2

18. Solve 25x4-20x2+3=0

19. Find the x intercepts for the graph of the equation y=x2+2x-3

20. Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function and graph the function. f(x)= -2x2+2x+8 please find

a. The x coordinates of the vertex

b. The y coordinates of the vertex

c. The equation of the line of symmetry is x

d. The maximum / minimum of f(x)

e. The value f(1/2)=17/2 is maximum or minimum

21. Find the vertex, the line of symmetry, the maximum or minimum value of f(x) and graph the function. f(x)=1/2(x+4)2+5

a. The vertex

b. The line of symmetry for x

c. The max/min of f(x)

d. Is the value f(-4)=5 a minimum or maximum

22. Covert to decimal notation 8.23×107

23. Solve x2+18x-4=0

24. Solve v9x+67 =x+5

25. Solve 5/x=7/x-1/2

26. Solve 5x2=15 and Find the x intercepts of f(x)=5x2-15

a. What are the solutions

b. What are the x intercepts

27. Add (4b4-2b3+3b2+12b-7)+(b5+9b3+5b2-3b+4)+(-7b4+b2-6b-5)

28. Multiply (-3n)2(2n5)3

29. Multiply (4x+9)(3x2+2x+7)

30. Solve w2+2w-15=0

31. a2+18a+81

32. Evaluate the polynomial for x= -3

a. 3x2-3x+1

33. Factor completely 9x6-36x5+18x4

34. Subtract the polynomial (-11s2+7s+2)-(7s2+2)

35. Multiply and simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers.3vy73v168

36. In a right triangle, find the length of the side not given. b=1, c=v10 what is the length of the third side?

37. x-1/x-9 – x+1/x+9 + x-153/x2-81

38. 3v1000x11/y3

39. Multiply (a+g)(a2-ag+g2)

40. Jack usually mows his lawn in 6 hours. Marilyn can mow the same yard in 7hours. How much time would it take for them to mow the lawn together?

41. Solve (x+9)(x-6)(x+2)>0

42. What does it mean to refer to a 20 in TV set or 25 in TV set? Such units refer to the diagonal of the screen. A 35 in TV set has a width of 28 in. What is its height?

43. Find the polynomial for the perimeter and for the area if one side of a rectangle is = n+5 and the another = n

a. The perimeter is’

b. The area is’

44. Add (5x2-6xy+y2)+(-9x2-5xy-y2)+(x2+xy-7y2)

45. Simplify 5v-1/1024

46. If the sides of a square are lengthened by 5cm, the area becomes 169cm2. Find the length of a side of the original square?

47. Factor 9-6c+c2

48. Find the greatest common factor for the group of terms. -30a2, 5a3

49. Use the quadratic formula to solve the equation x2-3x= -3

50. Multiply and simplify 36a2/4a2-16a+16 • 4a-8/6a

51. Solve for x. 4x(x-4)-5x(x-3)=0

52. Rationalize the denominator. Assume that all expressions under radicals represents positive numbers. vr - vs / vr + vs

53. Subtract. Simplify by collecting like radical terms if possible 2v12 - 2v3

54. Factor completely 9b2-16

55. Multiply and simplify.Assume variables represents nonzero real numbers. a19 • a0

56. Simplify by removing factors of 1. 9s2+9s/72s2+81s

57. Find the following. Assume that variables can represent any real number. v(a+5)2

58. Add. Simplify if possible. 5v/v2-36 + v/v-6

59. Multiply (c+1/2)(c+1/3)

60. Factor completely 49a2+64-112a

61. Factor completely 63a2+294af+343f2

62. Divide (28b3+13b2+30b+30)÷(4b+3)

63. Rewrite the following expression with positive exponents. (21xy)-9/10

64. Multiply (2v3 - 4v6)(5v3 +10v6)

65. For the following equation, state the value of the discriminant and then describe the nature of the solutions. 5x2+5x+6=0

66. If a pro basketball player has a vertical leap of about 20 inches.What is his hang time? Use the hangtime function V=48t

2. Subtract, simplify 2-v/v-3 – 4v-9/3-v

3. Find the variation constant and an equation of variation where y varies directly as x and y =28 when x=4. What is the variation constant of k and the equation of variation is y=?

4. Use FOIL method to find the product (8x^3-8)(x^5-6)

5. 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:2, only solution. The equation is ? =0

6. Find all numbers for which the rational expression is undefined m^3-5m/m^2-16

7. Divide and simplify 7w-63/6 divided by w-9/22w

8. Factor the trinomial s^3-2s^2-63s

9. Rewrite with a rational exponent 4v23

10. Use rational exponents to simplify 4vx^20 What is x =

11. Identify the degree of each term of the polynomial and the degree of the polynomial -2x^3+3x^2+5x+9. What degree is the first, second, third and fourth term and also what the degree of the polynomial

12. Solve: b^2-3b-28=0

13. Use rational exponents to write x1/5•y1/3•z1/9 as a single radical expression.

14. Divide and simplify x2/x18

15. Simplify by factoring. Assume that all expression under radicals represents nonnegative numbers. v50a2b

16. Find the following 14v(-2)14

17. Simplify by removing factors of 1. r2-1/(r+1)2

18. Solve 25x4-20x2+3=0

19. Find the x intercepts for the graph of the equation y=x2+2x-3

20. Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function and graph the function. f(x)= -2x2+2x+8 please find

a. The x coordinates of the vertex

b. The y coordinates of the vertex

c. The equation of the line of symmetry is x

d. The maximum / minimum of f(x)

e. The value f(1/2)=17/2 is maximum or minimum

21. Find the vertex, the line of symmetry, the maximum or minimum value of f(x) and graph the function. f(x)=1/2(x+4)2+5

a. The vertex

b. The line of symmetry for x

c. The max/min of f(x)

d. Is the value f(-4)=5 a minimum or maximum

22. Covert to decimal notation 8.23×107

23. Solve x2+18x-4=0

24. Solve v9x+67 =x+5

25. Solve 5/x=7/x-1/2

26. Solve 5x2=15 and Find the x intercepts of f(x)=5x2-15

a. What are the solutions

b. What are the x intercepts

27. Add (4b4-2b3+3b2+12b-7)+(b5+9b3+5b2-3b+4)+(-7b4+b2-6b-5)

28. Multiply (-3n)2(2n5)3

29. Multiply (4x+9)(3x2+2x+7)

30. Solve w2+2w-15=0

31. a2+18a+81

32. Evaluate the polynomial for x= -3

a. 3x2-3x+1

33. Factor completely 9x6-36x5+18x4

34. Subtract the polynomial (-11s2+7s+2)-(7s2+2)

35. Multiply and simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers.3vy73v168

36. In a right triangle, find the length of the side not given. b=1, c=v10 what is the length of the third side?

37. x-1/x-9 – x+1/x+9 + x-153/x2-81

38. 3v1000x11/y3

39. Multiply (a+g)(a2-ag+g2)

40. Jack usually mows his lawn in 6 hours. Marilyn can mow the same yard in 7hours. How much time would it take for them to mow the lawn together?

41. Solve (x+9)(x-6)(x+2)>0

42. What does it mean to refer to a 20 in TV set or 25 in TV set? Such units refer to the diagonal of the screen. A 35 in TV set has a width of 28 in. What is its height?

43. Find the polynomial for the perimeter and for the area if one side of a rectangle is = n+5 and the another = n

a. The perimeter is’

b. The area is’

44. Add (5x2-6xy+y2)+(-9x2-5xy-y2)+(x2+xy-7y2)

45. Simplify 5v-1/1024

46. If the sides of a square are lengthened by 5cm, the area becomes 169cm2. Find the length of a side of the original square?

47. Factor 9-6c+c2

48. Find the greatest common factor for the group of terms. -30a2, 5a3

49. Use the quadratic formula to solve the equation x2-3x= -3

50. Multiply and simplify 36a2/4a2-16a+16 • 4a-8/6a

51. Solve for x. 4x(x-4)-5x(x-3)=0

52. Rationalize the denominator. Assume that all expressions under radicals represents positive numbers. vr - vs / vr + vs

53. Subtract. Simplify by collecting like radical terms if possible 2v12 - 2v3

54. Factor completely 9b2-16

55. Multiply and simplify.Assume variables represents nonzero real numbers. a19 • a0

56. Simplify by removing factors of 1. 9s2+9s/72s2+81s

57. Find the following. Assume that variables can represent any real number. v(a+5)2

58. Add. Simplify if possible. 5v/v2-36 + v/v-6

59. Multiply (c+1/2)(c+1/3)

60. Factor completely 49a2+64-112a

61. Factor completely 63a2+294af+343f2

62. Divide (28b3+13b2+30b+30)÷(4b+3)

63. Rewrite the following expression with positive exponents. (21xy)-9/10

64. Multiply (2v3 - 4v6)(5v3 +10v6)

65. For the following equation, state the value of the discriminant and then describe the nature of the solutions. 5x2+5x+6=0

66. If a pro basketball player has a vertical leap of about 20 inches.What is his hang time? Use the hangtime function V=48t

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