13. Multiply the following polynomials and simplify:
(1x^{4} + 9)5x^{5}
5x^{9} + 45x^{5}
(4x^{5} + 6x^{2})(7x^{5} + 4x^{4})
28x^{10} + 16x^{9} + 42x^{7} + 24x^{6}
14. Divide:
20x^{3}  36x^{2}  45x + 81 / 5x  9
4x^{2}  9
15. Find the greatest common factor of the following terms:
52, 78, 36
2
54x^{6}y, 78x^{5}y^{2}
6x^{5}y
16. Factor the following polynomials:
34x^{5} + 69x^{4} + 27x^{3}
34x^{3}(x +
9
17
)(x +
3
2
)
x^{2}  8x + 12
(x  2)(x  6)
x^{8} + 20x^{7} + 96x^{6}
x^{6}(x + 12)(x + 8)
17. For question 16, exercises b) and c), solve for x:
x =
2
and
6
x =
0
,
12
and
8
18. How many ways can 8 people wait in line?
40320
19. Use the following data to construct a box and whiskers plot:
18, 25, 5, 17, 29, 14, 13, 32, 22
20. A bag contains 6 blue balls, 5 red balls, and 6 white balls. You pick a ball from the bag and put it in your pocket. What is the probability of picking:
A white ball?
35.29%
A blue ball or red ball?
64.71%
Two red balls?
7.35%
A blue ball and a white ball?
13.24%
21. Solve and graph the following systems of linear equations:
x + y = 8 x  y = 6
A(7,1)
2x  3y = 19 2x + 6y = 5
B(5.5,2.67)
22. Write the following fractions in simplest form:
22x^{6}y^{7}z^{4}
44x^{7}y^{9}z^{2}
z^{2}
2xy^{2}
x^{5}(x + 7)
x^{3} + 14x^{2} + 49x
x^{4}
(x + 7)
23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
x = x^{2}  20
x_{1} = 5, x_{2} = 4
24. Convert the following repeating decimal into a fraction:
x =
0.1224
1223
9990
25. Solve the following equation:

10
x
= 4
x =
100
16
26. Rationalize the denominator of each fraction below:
35
2
35
2
2
27. Use a trigonometric ratio to find x:
x = 15.00 cm
28. The sum of two consecutive odd integers is 32. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=15, b=17
29. After you leave your house, you walk 5 blocks south and 12 blocks west. How far are you from your house?
I am
13
blocks from my house.
30. Each side of a square is lengthened by 6 ft. This makes the area of the square 196ft^{2}. What is the original length of a side of the square?