15. Find the greatest common factor of the following terms:
18, 90, 28
2
66x^{10}y^{4}, 21x^{4}y^{6}, 80x^{8}y^{5}
x^{4}y^{4}
16. Factor the following polynomials:
2x^{5}  21x^{4} + 40x^{3}
2x^{3}(x  8)(x 
5
2
)
x^{2}  11x + 18
(x  9)(x  2)
x^{4}  9x^{3}  36x^{2}
x^{2}(x  12)(x + 3)
17. For question 16, exercises b) and c), solve for x:
x =
9
and
2
x =
0
,
12
and
3
18. You have 3 pants, 5 shirts, and 3 shoes. How many different ways can you dress?
45
19. Use the following data to construct a box and whiskers plot:
13, 39, 8, 12, 20, 18, 15, 24, 14, 30
20. A bag contains 2 blue balls, 5 red balls, and 5 white balls. You pick a ball from the bag and put it in your pocket. What is the probability of picking:
A white ball?
41.67%
A blue ball or red ball?
58.33%
Two red balls?
15.15%
A blue ball and a white ball?
7.58%
21. Solve and graph the following systems of linear equations:
x + y = 17 x  y = 6
A(11.5,5.5)
9x  y = 3 5x + 10y = 18
B(0.13,1.86)
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}  6x^{2} + 8x
x^{5}(x  4)
(x  2)
x^{4}
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} + 6 = 7x
x_{1} = 6, x_{2} = 1
24. Convert the following repeating decimal into a fraction:
x =
0.47
43
90
25. Solve the following equation:
12
x
= 10
x =
144
100
26. Rationalize the denominator of each fraction below:
1
2 
21

2 +
21
17
27. Use a trigonometric ratio to find x:
x = 26.87 cm
28. The sum of two consecutive even integers is 62. What are the integers? (Hint: use 2x as the first even integer)
a=30, b=32
29. After you leave your house, you walk 16 blocks north and 12 blocks east. How far are you from your house?
I am
20
blocks from my house.
30. The length of a rectangle is 2 more than twice its width. The area of the rectangle is 312ft^{2}. What is the length and width of the rectangle?