13. Multiply the following polynomials and simplify:
(5x^{5} + 10x^{3})9x^{5}
45x^{10} + 90x^{8}
(6x^{2} + 6)(6x^{3} + 5x)
36x^{5} + 66x^{3} + 30x
14. Divide:
12x^{2}  62x + 81 / 4x  10
(3x  8) with a remainder of 1
15. Find the greatest common factor of the following terms:
90, 54
18
63xy^{5}, 84y^{10}, 48x^{5}y^{9}
3y^{5}
16. Factor the following polynomials:
28x^{4}  4x^{3}  32x^{2}
28x^{2}(x + 1)(x 
8
7
)
x^{2}  4x  12
(x + 2)(x  6)
x^{8}  2x^{7}  195x^{6}
x^{6}(x  15)(x + 13)
17. For question 16, exercises b) and c), solve for x:
x =
2
and
6
x =
0
,
15
and
13
18. You have 7 CDs. How many different ways can you listen to them?
5040
19. Use the following data to construct a box and whiskers plot:
33, 14, 36, 1, 15, 28, 13
20. A bag contains 5 blue balls, 2 red balls, and 2 white balls. You pick a ball from the bag and return it to the bag. What is the probability of picking:
A white ball?
22.22%
A blue ball or red ball?
77.78%
Two red balls?
4.94%
A blue ball and a white ball?
12.35%
21. Solve and graph the following systems of linear equations:
x + y = 10 x  y = 19
A(14.5,4.5)
3x  7y = 14 10x + 10y = 11
B(0.63,1.73)
22. Write the following fractions in simplest form:
5x^{10}y^{2}
15x^{10}y^{10}
1
3y^{8}
x(x + 8)
x^{5} + 16x^{4} + 64x^{3}
1
x^{2}(x + 8)
23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
x^{2} + 7x = 78
x_{1} = 6, x_{2} = 13
24. Convert the following repeating decimal into a fraction:
x =
1.545
1530
990
25. Solve the following equation:

12
x
= 12
x = 1
26. Rationalize the denominator of each fraction below:
21
14 +
6
294  21
6
190
27. Use a trigonometric ratio to find x:
x = 38.18 cm
28. The sum of two consecutive odd integers is 36. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=17, b=19
29. After you leave your house, you walk 12 blocks south and 5 blocks west. How far are you from your house?
I am
13
blocks from my house.
30. The length of a rectangle is 6 more than twice its width. The area of the rectangle is 216m^{2}. What is the length and width of the rectangle?