13. Multiply the following polynomials and simplify:
(7x^{4} + 3)(5x^{5} + 5x^{2} + 5x)
35x^{9} + 35x^{6} + 50x^{5} + 15x^{2} + 15x
(1x^{5} + 9x^{2})(10x^{2} + 10x)
10x^{7} + 10x^{6} + 90x^{4} + 90x^{3}
14. Divide:
5x^{2} + 39x  37 / x + 9
(5x  6) with a remainder of 17
15. Find the greatest common factor of the following terms:
75, 48
3
45x^{7}y^{10}, 100x^{6}y^{2}
5x^{6}y^{2}
16. Factor the following polynomials:
3x^{4} + 3x^{3}  36x^{2}
3x^{2}(x + 4)(x  3)
x^{2} + 12x + 20
(x + 2)(x + 10)
x^{5} + 4x^{4}  32x^{3}
x^{3}(x + 8)(x  4)
17. For question 16, exercises b) and c), solve for x:
x =
2
and
10
x =
0
,
8
and
4
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:
28, 1, 25, 10, 13, 31, 9, 3, 38
20. A bag contains 7 blue balls, 6 red balls, and 3 white balls. You pick a ball from the bag and return it to the bag. What is the probability of picking:
A white ball?
18.75%
A blue ball or red ball?
81.25%
Two red balls?
14.06%
A blue ball and a white ball?
8.20%
21. Solve and graph the following systems of linear equations:
x + y = 14 x  y = 17
A(15.5,1.5)
2x  10y = 18 2x + y = 14
B(7.18,0.36)
22. Write the following fractions in simplest form:
3x^{6}y^{7}
6x^{7}y^{5}
y^{2}
2x
x^{4}  13x^{3} + 40x^{2}
x^{4}(x  8)
(x  5)
x^{2}
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}  54 = 3x
x_{1} = 6, x_{2} = 9
24. Convert the following repeating decimal into a fraction:
x =
0.1886
1885
9990
25. Solve the following equation:

3x  5
+ 18 = 16
x = 387
26. Rationalize the denominator of each fraction below:
1
14
6 +
6
3
14

21
15
27. Use a trigonometric ratio to find x:
x = 14.50 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 6 blocks east and 8 blocks south. How far are you from your house?
I am
10
blocks from my house.
30. The length of a rectangle is 4 more than twice its width. The area of the rectangle is 198ft^{2}. What is the length and width of the rectangle?