15. Find the greatest common factor of the following terms:
66, 45
3
60x^{3}y^{10}, 84x^{6}y^{6}, 22x^{3}y^{7}
2x^{3}y^{6}
16. Factor the following polynomials:
30x^{4}  99x^{3} + 81x^{2}
30x^{2}(x 
3
2
)(x 
9
5
)
x^{2} + 3x  54
(x  6)(x + 9)
x^{8} + 9x^{7}  22x^{6}
x^{6}(x + 11)(x  2)
17. For question 16, exercises b) and c), solve for x:
x =
6
and
9
x =
0
,
11
and
2
18. You are seating 4 people on 4 chairs. How many different ways can those people sit?
24
19. Use the following data to construct a box and whiskers plot:
10, 35, 28, 8, 40, 19, 4
20. A bag contains 7 blue balls, 3 red balls, and 5 white balls. You pick a ball from the bag and return it to the bag. What is the probability of picking:
A white ball?
33.33%
A blue ball or red ball?
66.67%
Two red balls?
4.00%
A blue ball and a white ball?
15.56%
21. Solve and graph the following systems of linear equations:
x + y = 5 x  y = 6
A(0.5,5.5)
2x  10y = 12 12x + 14y = 2
B(1,1)
22. Write the following fractions in simplest form:
27x^{5}y^{8}
9x^{7}y^{4}
3y^{4}
x^{2}
(x  8)^{6}
(x  8)^{7}
1
x  8
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 = 5x
x_{1} = 1, x_{2} = 6
24. Convert the following repeating decimal into a fraction:
x =
5.492
5438
990
25. Solve the following equation:

5x  10
+ 10 = 5
x = 47
26. Rationalize the denominator of each fraction below:
7
18
7
2
6
27. Use a trigonometric ratio to find x:
x = 19.05 cm
28. The sum of two consecutive odd integers is 28. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=13, b=15
29. After you leave your house, you walk 12 blocks south and 9 blocks west. How far are you from your house?
I am
15
blocks from my house.
30. The length of a rectangle is 6 less than 2 times the width. What are the dimensions of the rectangle if the area is 360ft^{2}?