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1. Find the greatest common...

1. Find the greatest common factor for the

group of terms.

-42a^3 , 7a^4

2. In a right triangle, find the length of

the side not given.

b=1, c=sqrt17

3. Subtract, Simplfy if possible

6-w 4w-9

___ - ____ =

w-8 8-w

4. Factor completely

2x^4-4x^3+12x^2

5. Simplfy by removing factors of 1.

8m^2+8m

_________

24m^2+64m

6. Find a polynomianl for the perimeter

and for the area

n+4 , n

The perimeter is?

The area is?

7. Multiply

(3sqrt7 - 6sqrt5)(4sqrt7 + 8sqrt5)=

8. Simplfy

5^sqrt 1

-____

1024

9. Use rational exponets to simplfy.

3^sqrt X^12=X^?

10. televison 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 35-in TV set also has a wdith of

28 inches. What is the Height?

11. Add

(2x^2-7xy+y^2)+(-9x^2-5xy-y^2)+(x^2+xy-

6y^2)

12. Find the vertex, line of symmetry, and

the maximaximum or minimum value of f(x).

f(x)=1

-(x+6)^2+7

3

vertex?

line of symmetry?

Minimum or maximun?

13.Solve

sqrt3x+24 =x+2

14.Factor the trinomial

v^3-3v^2-18v

15.Factor completely

175s^2+490sp+343p^2

16.Add

(5a^4-4a^3+2a^2+10a-4)+(a^5+8a^3+5a^2-

2a+2)+(-8a^4+a^2-6a-9)

17.Jack usually mows his lawn in 6hrs.

Marilyn can mow the same yard in 3hrs. How

much time would it take for them to mow

the lawn together?

18.Rewrite with a rational exponent

7^sqrt23

19.Subtract. Simplify by collecting like

radical terms if possible.

5sqrt125-3sqrt5=

20.Divide and Simplify

W^4

___

w^16

21. Use the quadratic formula to solve the

equation.

x^2-5x=-7

The solution set is?

22.A)Solve 2x^2=10

B)Find the x-intercept of f(x)=2x^2-10.

23.Rewrite the following expressions with

positive exponents

5

- _

(28xy) 6

24. Find the following

16^sqrt(-3)^16

25. Simplify by removing factors of 1

r^2-25

______

(r+5)^2

26. Solve

W^2-6W-7=0

27. Use rational exponents to write

X^1/5*Y^1/7*Z^1/3 as a single radical

expression.

28.Solve

2=6 1

_ _ - _

W W 3

29.Multiply and simplify. Assume variables

represent nonzero real numbers.

C^14*C^0

30.For the following equation, state the

value of the discriminant and then

describe the nature of the solution.

-3x^2-8x+11=0

A)The equation has two imaginary

solutions.

B)The equation has two real solutions.

C)The equation has one real solution.

31.Solve

10x^4-17x^2+3=0

32.Subtract the Polynomials

(-8c^2+2c+2)-(7c^2+2)=

33.If a pro basketball player has a

vertical leap of about 25 inches, what is

his hang time? Use the hang-time function

V=48T^2

34.If the sides of a square are lengthened

by 5cm, the area becomes 169cm^2. Find the

length of a side of the original square.

35.Multiply

(7x+8)(7x^2+8x+8)

36.Multiply

(-2x)^2(4x^6)^2

37.Factor completely

4b^2+49-28b=

38.Express using a positive exponent.

V^-7

39.Solve for X.

4x(x-6)-5x(x-5)=-2

40.Factor

60-17v+v^2

41.Divide and simplify

11v-33 V-3

______ / ___

14 4v

42.Simplify by factoring. Assume that all

expressions under radicals represent

nonnegative numbers.

sqrt32a^2b

43.Find the vertex, the line of symmetry,

the maximum or minimum value of the

quadratic function.

f(x)=-2x^2+2x+3

44.Add. simplify if possible.

7v v

_____ + ___

v^2-1 v-1

45.Factor completely.

64c^2-121

46.Divide

(35b^3+18b^2+32b+37)/(5b+4)

47.Multiply

(b+1/5)(b+1/3)

48.Find the variation constant and an

equation of variation where y varies

directly as x and y=20 when x=4.

The variation constantis K=?

The equation of variation is y=?

49.Use the FOIL method to find the

product.

(4x^5-9)(x^6-7)=

50.Simplify by taking roots of the

numerator and denominator. Assume that all

expressions under radicals represent

positive numbers.

3^ radical 64x^5

_____

y^3

51.Solve

b^2+3b-40=0

52.Find the x-intercepts for the graph of

the equation y=x^2-3x-10

53.Find the following. Assume that

variables can represent any real number.

sqrt(a+1)^2=

54.multiply and simplify by factoring.

Assume that all expressions under radicals

represent nonnegative numbers.

3^radical Y^7 3^radical 81y^8

55.Evaluate the polynomial for x=6

2x^2-4x+8=

56.Find all numbers for which the rational

expression is undefined.

T^3-6T

______

T^2-36

57.Perform the indicated operation and

simplify.

V-2 V+1 V-35

___ - ___ + ______=

V-5 V+5 V^2-25

58.Solve

X^2+6X-4=0

59.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: 4, only solution

60.multiply

(S+T)(S^2-ST+T^2)=

61.Solve

(X+19)(X-12)(X+7)>0

62.Multiply and simplify

81a^2 2a-2

_________ * ____

2a^2-4a+2 9a

63.Rationalize the denominator. Assume

that all expressions under radicals

represent positive numbers.

radical A -radical B

____________________

radical A +Radical B

64.Identify the degree of each term of the

polynomial and the degree of the

polynomial.

-8X^3+2X^2+6X+2

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 fourth term is?

The degree of the polynomial is?

65.Factor

B^2+18B+81=

66.Convert to decimal notation

8.31*10^7=

group of terms.

-42a^3 , 7a^4

2. In a right triangle, find the length of

the side not given.

b=1, c=sqrt17

3. Subtract, Simplfy if possible

6-w 4w-9

___ - ____ =

w-8 8-w

4. Factor completely

2x^4-4x^3+12x^2

5. Simplfy by removing factors of 1.

8m^2+8m

_________

24m^2+64m

6. Find a polynomianl for the perimeter

and for the area

n+4 , n

The perimeter is?

The area is?

7. Multiply

(3sqrt7 - 6sqrt5)(4sqrt7 + 8sqrt5)=

8. Simplfy

5^sqrt 1

-____

1024

9. Use rational exponets to simplfy.

3^sqrt X^12=X^?

10. televison 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 35-in TV set also has a wdith of

28 inches. What is the Height?

11. Add

(2x^2-7xy+y^2)+(-9x^2-5xy-y^2)+(x^2+xy-

6y^2)

12. Find the vertex, line of symmetry, and

the maximaximum or minimum value of f(x).

f(x)=1

-(x+6)^2+7

3

vertex?

line of symmetry?

Minimum or maximun?

13.Solve

sqrt3x+24 =x+2

14.Factor the trinomial

v^3-3v^2-18v

15.Factor completely

175s^2+490sp+343p^2

16.Add

(5a^4-4a^3+2a^2+10a-4)+(a^5+8a^3+5a^2-

2a+2)+(-8a^4+a^2-6a-9)

17.Jack usually mows his lawn in 6hrs.

Marilyn can mow the same yard in 3hrs. How

much time would it take for them to mow

the lawn together?

18.Rewrite with a rational exponent

7^sqrt23

19.Subtract. Simplify by collecting like

radical terms if possible.

5sqrt125-3sqrt5=

20.Divide and Simplify

W^4

___

w^16

21. Use the quadratic formula to solve the

equation.

x^2-5x=-7

The solution set is?

22.A)Solve 2x^2=10

B)Find the x-intercept of f(x)=2x^2-10.

23.Rewrite the following expressions with

positive exponents

5

- _

(28xy) 6

24. Find the following

16^sqrt(-3)^16

25. Simplify by removing factors of 1

r^2-25

______

(r+5)^2

26. Solve

W^2-6W-7=0

27. Use rational exponents to write

X^1/5*Y^1/7*Z^1/3 as a single radical

expression.

28.Solve

2=6 1

_ _ - _

W W 3

29.Multiply and simplify. Assume variables

represent nonzero real numbers.

C^14*C^0

30.For the following equation, state the

value of the discriminant and then

describe the nature of the solution.

-3x^2-8x+11=0

A)The equation has two imaginary

solutions.

B)The equation has two real solutions.

C)The equation has one real solution.

31.Solve

10x^4-17x^2+3=0

32.Subtract the Polynomials

(-8c^2+2c+2)-(7c^2+2)=

33.If a pro basketball player has a

vertical leap of about 25 inches, what is

his hang time? Use the hang-time function

V=48T^2

34.If the sides of a square are lengthened

by 5cm, the area becomes 169cm^2. Find the

length of a side of the original square.

35.Multiply

(7x+8)(7x^2+8x+8)

36.Multiply

(-2x)^2(4x^6)^2

37.Factor completely

4b^2+49-28b=

38.Express using a positive exponent.

V^-7

39.Solve for X.

4x(x-6)-5x(x-5)=-2

40.Factor

60-17v+v^2

41.Divide and simplify

11v-33 V-3

______ / ___

14 4v

42.Simplify by factoring. Assume that all

expressions under radicals represent

nonnegative numbers.

sqrt32a^2b

43.Find the vertex, the line of symmetry,

the maximum or minimum value of the

quadratic function.

f(x)=-2x^2+2x+3

44.Add. simplify if possible.

7v v

_____ + ___

v^2-1 v-1

45.Factor completely.

64c^2-121

46.Divide

(35b^3+18b^2+32b+37)/(5b+4)

47.Multiply

(b+1/5)(b+1/3)

48.Find the variation constant and an

equation of variation where y varies

directly as x and y=20 when x=4.

The variation constantis K=?

The equation of variation is y=?

49.Use the FOIL method to find the

product.

(4x^5-9)(x^6-7)=

50.Simplify by taking roots of the

numerator and denominator. Assume that all

expressions under radicals represent

positive numbers.

3^ radical 64x^5

_____

y^3

51.Solve

b^2+3b-40=0

52.Find the x-intercepts for the graph of

the equation y=x^2-3x-10

53.Find the following. Assume that

variables can represent any real number.

sqrt(a+1)^2=

54.multiply and simplify by factoring.

Assume that all expressions under radicals

represent nonnegative numbers.

3^radical Y^7 3^radical 81y^8

55.Evaluate the polynomial for x=6

2x^2-4x+8=

56.Find all numbers for which the rational

expression is undefined.

T^3-6T

______

T^2-36

57.Perform the indicated operation and

simplify.

V-2 V+1 V-35

___ - ___ + ______=

V-5 V+5 V^2-25

58.Solve

X^2+6X-4=0

59.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: 4, only solution

60.multiply

(S+T)(S^2-ST+T^2)=

61.Solve

(X+19)(X-12)(X+7)>0

62.Multiply and simplify

81a^2 2a-2

_________ * ____

2a^2-4a+2 9a

63.Rationalize the denominator. Assume

that all expressions under radicals

represent positive numbers.

radical A -radical B

____________________

radical A +Radical B

64.Identify the degree of each term of the

polynomial and the degree of the

polynomial.

-8X^3+2X^2+6X+2

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 fourth term is?

The degree of the polynomial is?

65.Factor

B^2+18B+81=

66.Convert to decimal notation

8.31*10^7=

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