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1.Multiply

(5x+2)(9x^2+4x+5)

2. Rewrite the following expression with positive exponents

(32xy)^-7/9

3. Factor the trinomial

C^3-4c^2-12c

4. Multiply

(a+d)(a^2-ad+d^2)

5. Solve for X

4x(x-1)-5x(x) =3

6. Identify the degree of each term of the polynomial and the degree of the polynomial

-4x^3+6x^2+9x+6

The degree of the first term is

The degree of the second term is

The degree of the third term is

The degree of the third term is

The degree of the polynomial is

7. Subtract the polynomials

(-10s^2+7s+4)-(7s^2+4)

8. Solve 4x^2=12

Find the x intercept of f(x)=4x^2-12

9. Write a quadratic equation in the variable x having the given number as solutions. Type the equation in ax^2+bx+c=0. The solution is 10.

10. Find the following. Assume the variables can represent any real number

The square root of (a+6)^2=

11. Add and simplify your answer

(3c^4-3c^3+3c^2+14c-6)+(c^5+10c^3+7c^2-3c+3)+(6c^4+c^2-8c-7)

12. Simplify by factoring number of 1

8s^2+8s/40s^2+64s

13. Multiply and simplify. Assume variables represent nonzero real numbers

y^17*y^0

14. Rationalize the denominator. Assume that all expressions under radical represent positive number.

The square root sign c minus the square root sign / the square root sign c plus the square root sign d

15. Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive number.

The cube of 729x^11/y^3

16. Divide and simplfy

r^2/r*12

17. Jack usually mows his lawns in 4 hours. Marilyn can mow the same yard in 3 hours. How much time would it takes for them to mow the lawn together.

18. Find the side of a when b=1, c= the square root sign 17. What is the length of the third side.

19. Use the FOIL method to find the product

(2x^8-2)(x^9-6)=

20. Multiply.

(-4z)^2(3z^6)^2=

21. Multiply

(w+1/5)(w+1/2)=

22. Divide and simplify

11y-33/40 divided by y-3/14y

23. Find the following and simplify your answer

14square root sign (-9)^14

24. Find all number for which the rational expression is undefined

R^3-5r/r^2-9

25. Express using a positive exponent

U^-7

26. If a pro basketball player has a vertical leaps of about 35 inches, what is his hang time? Use the hang time function V=48T^2. His hang time in seconds =

27. Factor completely

25v^2-36

28. Solve

8/v=9/v-1/3

29. Find the vertex, the line of symmetry, the max and min value of the quadratic function, and graph the function

F(x)=-2x^2+2x+4

The x coordinate vertex=

The y coordinate vertex=

The line of symmetry

The max/min of f(x) is=

The f1/2=9/2 is max or min

Graph function

30. Simplify by factoring. Assume that all expressions under radical represent nonnegative numbers

The square root sign 12a^2b give the exact answer, using radicals as needed.

31. Solve

The square root sign 5x+21=x+3

32. Multiply

(5 square root sign 2 minus 10 square root sign 7)(4 square root sign 3 minus 8 square root sign 7)

33. For the following equation, state the value of the discriminant and then describe the nature of the solution -20x^2-8x-9=0

Which statement is correct.

The equation has two imaginary solutions

The equation has two real solutions

The equation has one real solution

34. Evaluate the polynomial for x=-4

2x^2-3x+3

35. Divide

(30b^3+8b^+29b+26) divided by (5b+3)

36. Add simplify

3u/u^2-64+u/u-g=

37. Use the quadratic formula to solve the equation

X^2-x=-1 The solution set is. Type an exact answer, using radicals as needed.

38. Simplify

The fifth square root -1/243

39. Rewrite with a rational exponent

The sixth square root sign 19

40. Find the vertex, the line of symmetry, the max and min value of the quadratic function, and graph the function

F(x)=1/2(x+2)^2+2

The vertex is

The line of symmetry is

What is the max and min of f(x)

Is the value of (f-2)=2 a max or min

Graph

41. Solve

A^2-5a-50=0

A=

42. Perform the indicate operations and simplify

w-4/w-8-w+1/w+8+w-72/w^2-64

43. Solve

t^2+2t-24=0

t=

44. Find the x intercepts for the graoh of the equation y=x^2+4x-5

The x intercept =

45. Multiply and simplify

The cube of y^4 the cube of 81y^5

46. Solve

6x^4-7x^2+2=0

X=

47. Use rational exponents to write x^1/6*y^1/5*z^1/3

48. Factor completely

200a^2+640ad-512d^2=

49. Convert to decimal notation

8.36*10^7

50. Find the variation constant and an equation of variation where y varies directly as c and y=54 when x=6

The variation constant is k=

The equation of variation is y=

51. Use ration exponents to simplify

The fifth square root sign x^25

52. Multiply and simplify

4b^2/2b^2-8b+8*2b-4/2b=

53. Find the polynomial for the perimeter and for the area

A+8=L a=W

The perimeter is

The area is

54. Factor

s^2-14s+49=

55. Solve

X^2+6x-4=0

56. Simplify by removing factors of 1

P^2-81/(p+9)^2

57. Subtract simplify if possible

7-w/w-8-4w-9/8-w

58. Find the greatest common factor for the groups of terms

-30a^4, 5a^5

59. Subtract simplify by collecting like radicals terms if possible

4 square root sign 80 min two square root sigh 5

60. Add

(3x^2-3xy+y^2)+(-8x^2-9xy-y^2)+(x^2+xy-8y^2)

61. If the side of a square are lengthened by 5 cm the are becomes 144cm^2. Find the length of a side of the original square. The length of a side of the original square is__cm

62. Solve

(x+2)(x-1)(x+1)>0

63. Factor

24-10v+v^2

64. Telelvision 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 20 in TC set also has a width of 16 inches. What is the height?

What is the height of a 20 in TV=

65. Factor completely

49w^2+36-84w=or the expression is not factorable

66. Factor completely

7x^5-56x^4+42x^3

1.Multiply

(5x+2)(9x^2+4x+5)

2. Rewrite the following expression with positive exponents

(32xy)^-7/9

3. Factor the trinomial

C^3-4c^2-12c

4. Multiply

(a+d)(a^2-ad+d^2)

5. Solve for X

4x(x-1)-5x(x) =3

6. Identify the degree of each term of the polynomial and the degree of the polynomial

-4x^3+6x^2+9x+6

The degree of the first term is

The degree of the second term is

The degree of the third term is

The degree of the third term is

The degree of the polynomial is

7. Subtract the polynomials

(-10s^2+7s+4)-(7s^2+4)

8. Solve 4x^2=12

Find the x intercept of f(x)=4x^2-12

9. Write a quadratic equation in the variable x having the given number as solutions. Type the equation in ax^2+bx+c=0. The solution is 10.

10. Find the following. Assume the variables can represent any real number

The square root of (a+6)^2=

11. Add and simplify your answer

(3c^4-3c^3+3c^2+14c-6)+(c^5+10c^3+7c^2-3c+3)+(6c^4+c^2-8c-7)

12. Simplify by factoring number of 1

8s^2+8s/40s^2+64s

13. Multiply and simplify. Assume variables represent nonzero real numbers

y^17*y^0

14. Rationalize the denominator. Assume that all expressions under radical represent positive number.

The square root sign c minus the square root sign / the square root sign c plus the square root sign d

15. Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive number.

The cube of 729x^11/y^3

16. Divide and simplfy

r^2/r*12

17. Jack usually mows his lawns in 4 hours. Marilyn can mow the same yard in 3 hours. How much time would it takes for them to mow the lawn together.

18. Find the side of a when b=1, c= the square root sign 17. What is the length of the third side.

19. Use the FOIL method to find the product

(2x^8-2)(x^9-6)=

20. Multiply.

(-4z)^2(3z^6)^2=

21. Multiply

(w+1/5)(w+1/2)=

22. Divide and simplify

11y-33/40 divided by y-3/14y

23. Find the following and simplify your answer

14square root sign (-9)^14

24. Find all number for which the rational expression is undefined

R^3-5r/r^2-9

25. Express using a positive exponent

U^-7

26. If a pro basketball player has a vertical leaps of about 35 inches, what is his hang time? Use the hang time function V=48T^2. His hang time in seconds =

27. Factor completely

25v^2-36

28. Solve

8/v=9/v-1/3

29. Find the vertex, the line of symmetry, the max and min value of the quadratic function, and graph the function

F(x)=-2x^2+2x+4

The x coordinate vertex=

The y coordinate vertex=

The line of symmetry

The max/min of f(x) is=

The f1/2=9/2 is max or min

Graph function

30. Simplify by factoring. Assume that all expressions under radical represent nonnegative numbers

The square root sign 12a^2b give the exact answer, using radicals as needed.

31. Solve

The square root sign 5x+21=x+3

32. Multiply

(5 square root sign 2 minus 10 square root sign 7)(4 square root sign 3 minus 8 square root sign 7)

33. For the following equation, state the value of the discriminant and then describe the nature of the solution -20x^2-8x-9=0

Which statement is correct.

The equation has two imaginary solutions

The equation has two real solutions

The equation has one real solution

34. Evaluate the polynomial for x=-4

2x^2-3x+3

35. Divide

(30b^3+8b^+29b+26) divided by (5b+3)

36. Add simplify

3u/u^2-64+u/u-g=

37. Use the quadratic formula to solve the equation

X^2-x=-1 The solution set is. Type an exact answer, using radicals as needed.

38. Simplify

The fifth square root -1/243

39. Rewrite with a rational exponent

The sixth square root sign 19

40. Find the vertex, the line of symmetry, the max and min value of the quadratic function, and graph the function

F(x)=1/2(x+2)^2+2

The vertex is

The line of symmetry is

What is the max and min of f(x)

Is the value of (f-2)=2 a max or min

Graph

41. Solve

A^2-5a-50=0

A=

42. Perform the indicate operations and simplify

w-4/w-8-w+1/w+8+w-72/w^2-64

43. Solve

t^2+2t-24=0

t=

44. Find the x intercepts for the graoh of the equation y=x^2+4x-5

The x intercept =

45. Multiply and simplify

The cube of y^4 the cube of 81y^5

46. Solve

6x^4-7x^2+2=0

X=

47. Use rational exponents to write x^1/6*y^1/5*z^1/3

48. Factor completely

200a^2+640ad-512d^2=

49. Convert to decimal notation

8.36*10^7

50. Find the variation constant and an equation of variation where y varies directly as c and y=54 when x=6

The variation constant is k=

The equation of variation is y=

51. Use ration exponents to simplify

The fifth square root sign x^25

52. Multiply and simplify

4b^2/2b^2-8b+8*2b-4/2b=

53. Find the polynomial for the perimeter and for the area

A+8=L a=W

The perimeter is

The area is

54. Factor

s^2-14s+49=

55. Solve

X^2+6x-4=0

56. Simplify by removing factors of 1

P^2-81/(p+9)^2

57. Subtract simplify if possible

7-w/w-8-4w-9/8-w

58. Find the greatest common factor for the groups of terms

-30a^4, 5a^5

59. Subtract simplify by collecting like radicals terms if possible

4 square root sign 80 min two square root sigh 5

60. Add

(3x^2-3xy+y^2)+(-8x^2-9xy-y^2)+(x^2+xy-8y^2)

61. If the side of a square are lengthened by 5 cm the are becomes 144cm^2. Find the length of a side of the original square. The length of a side of the original square is__cm

62. Solve

(x+2)(x-1)(x+1)>0

63. Factor

24-10v+v^2

64. Telelvision 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 20 in TC set also has a width of 16 inches. What is the height?

What is the height of a 20 in TV=

65. Factor completely

49w^2+36-84w=or the expression is not factorable

66. Factor completely

7x^5-56x^4+42x^3

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