15. Find the greatest common factor of the following terms:

66, 60, 54

6

60x^{3}y^{7}, 84x^{9}y^{10}, 66x^{2}y^{8}

6x^{2}y^{7}

16. Factor the following polynomials:

6x^{5} + 21x^{4} - 66x^{3}

6x^{3}(x - 2)(x +

11

2

)

x^{2} + 13x + 36

(x + 9)(x + 4)

x^{7} - 9x^{6} + 18x^{5}

x^{5}(x - 6)(x - 3)

17. For question 16, exercises b) and c), solve for x:

x =

-9

and

-4

x =

0

,

6

and

3

18. You are seating 7 people on 7 chairs. How many different ways can those people sit?

5040

19. Use the following data to construct a box and whiskers plot:

29, 33, 17, 9, 8, 12, 27, 32, 28, 14

20. A bag contains 7 blue balls, 2 red balls, and 7 white balls. You pick a ball from the bag and return it to the bag. What is the probability of picking:

A white ball?

43.75%

A blue ball or red ball?

56.25%

Two red balls?

1.56%

A blue ball and a white ball?

19.14%

21. Solve and graph the following systems of linear equations:

x + y = -16 x - y = -14

A(-15,-1)

2x - 3y = 9 6x + 7y = 9

B(2.81,-1.13)

22. Write the following fractions in simplest form:

20x^{2}y^{4}

5x^{4}y

4y^{3}

x^{2}

(x^{2} - 20x + 100)

(x - 10)

x - 10

23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.

-7x - 18 = -x^{2}

x_{1} = 9, x_{2} = -2

24. Convert the following repeating decimal into a fraction:

x =
6.48

642

99

25. Solve the following equation:

-16

x

+ 19 = -7

x

+ 10

x = 1

26. Rationalize the denominator of each fraction below:

10

4 +

6

4 -

6

27. Use a trigonometric ratio to find x:

x = 30.00 cm

28. The sum of two consecutive odd integers is 60. What are the integers? (Hint: use 2x+1 as the first odd integer)

a=29, b=31

29. After you leave your house, you walk 12 blocks east and 5 blocks north. How far are you from your house?

I am

13

blocks from my house.

30. Each side of a square is decreased by 5 ft. The area of the newly created square is 400ft^{2}. What was the original length of one side of the square?