15. Find the greatest common factor of the following terms:
15, 36, 45
3
30x^{5}y, 39x^{3}, 22x^{3}
x^{3}
16. Factor the following polynomials:
20x^{3} + 16x^{2} + 1x
20x(x 
4 +
11
10
)(x 
4 
11
10
)
x^{2}  17x + 70
(x  7)(x  10)
x^{8}  8x^{7} + 12x^{6}
x^{6}(x  2)(x  6)
17. For question 16, exercises b) and c), solve for x:
x =
7
and
10
x =
0
,
2
and
6
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:
37, 24, 23, 21, 18, 30, 36, 32
20. A bag contains 2 blue balls, 7 red balls, and 2 white balls. You pick a ball from the bag and put it in your pocket. What is the probability of picking:
A white ball?
18.18%
A blue ball or red ball?
81.82%
Two red balls?
38.18%
A blue ball and a white ball?
3.64%
21. Solve and graph the following systems of linear equations:
x + y = 10 x  y = 19
A(14.5,4.5)
10x  2y = 2 2x + y = 14
B(2.14,9.71)
22. Write the following fractions in simplest form:
5x^{7}y^{2}
15x^{10}y
y
3x^{3}
(x^{2}  2x + 1)
(x  1)
x  1
23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
15 = x^{2} + 16x
x_{1} = 1, x_{2} = 15
24. Convert the following repeating decimal into a fraction:
x =
0.39
39
99
25. Solve the following equation:
17
x
 10 = 20
x
+ 8
x = 36
26. Rationalize the denominator of each fraction below:
10
2 
10

10 + 5
10
3
27. Use a trigonometric ratio to find x:
x = 16.50 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 3 blocks east and 4 blocks north. How far are you from your house?
I am
5
blocks from my house.
30. Each side of a square is lengthened by 3 ft. This makes the area of the square 361ft^{2}. What is the original length of a side of the square?