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

60, 55

5

33x^{10}y^{2}, 54x^{6}y, 24x^{3}y^{6}

3x^{3}y

16. Factor the following polynomials:

28x^{3} + 44x^{2} + 16x

28x(x +

4

7

)(x + 1)

x^{2} + 15x + 56

(x + 8)(x + 7)

x^{8} - 4x^{7} - 77x^{6}

x^{6}(x + 7)(x - 11)

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

x =

-8

and

-7

x =

0

,

-7

and

11

18. You have 2 pants, 3 shirts, and 2 shoes. How many different ways can you dress?

12

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

6, 32, 16, 14, 7, 19, 39, 27

20. A bag contains 2 blue balls, 4 red balls, and 3 white balls. You pick a ball from the bag and put it in your pocket. What is the probability of picking:

A white ball?

33.33%

A blue ball or red ball?

66.67%

Two red balls?

16.67%

A blue ball and a white ball?

8.33%

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

x + y = -6 x - y = -9

A(-7.5,1.5)

3x - 4y = -5 4x + 2y = -18

B(-3.73,-1.55)

22. Write the following fractions in simplest form:

19x^{2}y^{4}

76x^{10}y^{4}

1

4x^{8}

x^{6}(x + 10)

x^{7} + 9x^{6} - 10x^{5}

x

(x - 1)

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

-66 = x^{2} - 25x

x_{1} = 22, x_{2} = 3

24. Convert the following repeating decimal into a fraction:

x =
9.74

965

99

25. Solve the following equation:

2x - 8

- 12 = 12

x = 292

26. Rationalize the denominator of each fraction below:

3

15

+ 2

3

15

- 6

11

27. Use a trigonometric ratio to find x:

x = 21.21 cm

28. The sum of two consecutive even integers is 30. What are the integers? (Hint: use 2x as the first even integer)

a=14, b=16

29. After you leave your house, you walk 8 blocks south and 6 blocks west. How far are you from your house?

I am

10

blocks from my house.

30. The sides of a square are increased by 5 m. The area of the newly created square is 196m^{2}. What was the original length of one side of the square?