15. Find the greatest common factor of the following terms:
35, 32, 30
1
42x^{7}y^{5}, 50x^{5}y^{8}
2x^{5}y^{5}
16. Factor the following polynomials:
56x^{3}  98x^{2} + 42x
56x(x 
3
4
)(x  1)
x^{2}  2x  80
(x  10)(x + 8)
x^{5}  20x^{4} + 91x^{3}
x^{3}(x  13)(x  7)
17. For question 16, exercises b) and c), solve for x:
x =
10
and
8
x =
0
,
13
and
7
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:
13, 12, 28, 11, 22, 3, 9
20. A bag contains 2 blue balls, 3 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?
54.55%
A blue ball or red ball?
45.45%
Two red balls?
5.45%
A blue ball and a white ball?
10.91%
21. Solve and graph the following systems of linear equations:
x + y = 13 x  y = 19
A(16,3)
3x  7y = 10 8x + 4y = 7
B(1.31,0.87)
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)^{3}
(x  5)^{2}
x  5
23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
25 = x^{2} + 10x
x_{1} = 5, x_{2} = 5
24. Convert the following repeating decimal into a fraction:
x =
0.32
29
90
25. Solve the following equation:

x + 3
+ 13 = 8
x = 438
26. Rationalize the denominator of each fraction below:
49
21 
15
1029 + 49
15
426
27. Use a trigonometric ratio to find x:
x = 34.00 cm
28. The sum of two consecutive even integers is 46. What are the integers? (Hint: use 2x as the first even integer)
a=22, b=24
29. After you leave your house, you walk 8 blocks east and 6 blocks north. How far are you from your house?
I am
10
blocks from my house.
30. The length of a rectangle is 3 more than thrice its width. The area of the rectangle is 396ft^{2}. What is the length and width of the rectangle?
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