15. Find the greatest common factor of the following terms:
77, 36, 10
1
45x^{4}y, 30x^{6}y, 54x^{7}y^{6}
3x^{4}y
16. Factor the following polynomials:
12x^{5} + 54x^{4} + 60x^{3}
12x^{3}(x +
5
2
)(x + 2)
x^{2}  4x  32
(x + 4)(x  8)
x^{4}  15x^{3} + 26x^{2}
x^{2}(x  2)(x  13)
17. For question 16, exercises b) and c), solve for x:
x =
4
and
8
x =
0
,
2
and
13
18. You have 6 books to read. How many different ways can you read your books?
720
19. Use the following data to construct a box and whiskers plot:
17, 19, 9, 11, 16, 22, 2, 20
20. A bag contains 5 blue balls, 7 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?
29.41%
A blue ball or red ball?
70.59%
Two red balls?
15.44%
A blue ball and a white ball?
9.19%
21. Solve and graph the following systems of linear equations:
x + y = 3 x  y = 16
A(6.5,9.5)
3x  8y = 10 7x + 6y = 1
B(0.7,0.99)
22. Write the following fractions in simplest form:
66x^{6}y^{9}
22x^{10}y^{8}
3y
x^{4}
(x + 2)^{2}
(x + 2)
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} = 7x  78
x_{1} = 6, x_{2} = 13
24. Convert the following repeating decimal into a fraction:
x =
0.522
470
900
25. Solve the following equation:

3x  2
+ 13 = 8
x = 9
26. Rationalize the denominator of each fraction below:
25
5
1 +
7

25
5
 25
35
6
27. Use a trigonometric ratio to find x:
x = 22.63 cm
28. The sum of two consecutive even integers is 58. What are the integers? (Hint: use 2x as the first even integer)
a=28, b=30
29. After you leave your house, you walk 4 blocks south and 3 blocks west. How far are you from your house?
I am
5
blocks from my house.
30. The length of a rectangle is 3 more than thrice its width. The area of the rectangle is 270ft^{2}. What is the length and width of the rectangle?