15. Find the greatest common factor of the following terms:
90, 60, 84
6
18x^{8}y, 36xy, 84x^{6}y^{5}
6xy
16. Factor the following polynomials:
56x^{3} + 98x^{2} + 35x
56x(x +
5
4
)(x +
1
2
)
x^{2} + 6x  7
(x + 7)(x  1)
x^{6}  3x^{5}  108x^{4}
x^{4}(x  12)(x + 9)
17. For question 16, exercises b) and c), solve for x:
x =
7
and
1
x =
0
,
12
and
9
18. You are seating 5 people on 5 chairs. How many different ways can those people sit?
120
19. Use the following data to construct a box and whiskers plot:
40, 20, 31, 10, 4, 18, 15
20. A bag contains 3 blue balls, 6 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?
35.71%
A blue ball or red ball?
64.29%
Two red balls?
18.37%
A blue ball and a white ball?
7.65%
21. Solve and graph the following systems of linear equations:
x + y = 5 x  y = 13
A(9,4)
6x  6y = 7 5x + 4y = 2
B(0.3,0.87)
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)^{4}
(x  5)^{6}
1
(x  5)^{2}
23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
15x = x^{2} + 50
x_{1} = 5, x_{2} = 10
24. Convert the following repeating decimal into a fraction:
x =
0.1474
1460
9900
25. Solve the following equation:
32
x
= 4
x = 2
26. Rationalize the denominator of each fraction below:
21
5
+ 10

21
5
 210
95
27. Use a trigonometric ratio to find x:
x = 13.50 cm
28. The sum of two consecutive odd integers is 36. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=17, b=19
29. After you leave your house, you walk 15 blocks east and 8 blocks north. How far are you from your house?
I am
17
blocks from my house.
30. A rectangle has an area of 330ft^{2}. Its width is 7 ft less than its length. What are the dimensions of the rectangle?