13. Multiply the following polynomials and simplify:
6(8x^{5} + 6x^{4}  3)
48x^{5}  36x^{4} + 18
(2x^{2} + 8x + 4)(3x^{5} + 4x^{4})
6x^{7} + 32x^{6} + 44x^{5} + 16x^{4}
14. Divide:
4x^{2}  30x + 57 / x  6
(4x  6) with a remainder of 21
15. Find the greatest common factor of the following terms:
99, 48, 100
1
72x^{7}y^{2}, 21x^{4}y^{10}, 45x^{7}y^{6}
3x^{4}y^{2}
16. Factor the following polynomials:
33x^{3}  54x^{2}  24x
33x(x +
4
11
)(x  2)
x^{2} + 0x  25
(x + 5)(x  5)
x^{9} + 3x^{8}  108x^{7}
x^{7}(x  9)(x + 12)
17. For question 16, exercises b) and c), solve for x:
x =
5
and
5
x =
0
,
9
and
12
18. How many ways can 4 people wait in line?
24
19. Use the following data to construct a box and whiskers plot:
20, 26, 15, 18, 4, 28, 34, 22, 37, 33
20. A bag contains 2 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?
63.64%
A blue ball or red ball?
36.36%
Two red balls?
3.31%
A blue ball and a white ball?
11.57%
21. Solve and graph the following systems of linear equations:
x + y = 10 x  y = 19
A(14.5,4.5)
13x  15y = 15 x + 2y = 2
B(0,1)
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  3)
(x^{2}  6x + 9)
1
x  3
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} + 11x = 18
x_{1} = 9, x_{2} = 2
24. Convert the following repeating decimal into a fraction:
x =
0.32
32
99
25. Solve the following equation:
12
x
= 2
x = 3
26. Rationalize the denominator of each fraction below:
25
2
 10

25
2
+ 250
98
27. Use a trigonometric ratio to find x:
x = 34.64 cm
28. The sum of two consecutive even integers is 42. What are the integers? (Hint: use 2x as the first even integer)
a=20, b=22
29. After you leave your house, you walk 8 blocks north 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 2 ft. The area of the newly created square is 400ft^{2}. What was the original length of one side of the square?