15. Find the greatest common factor of the following terms:
36, 66, 65
1
100x^{5}, 30x^{2}y
10x^{2}
16. Factor the following polynomials:
16x^{5} + 46x^{4} + 32x^{3}
16x^{3}(x 
23 +
17
16
)(x 
23 
17
16
)
x^{2} + 10x + 24
(x + 6)(x + 4)
x^{5} + x^{4}  6x^{3}
x^{3}(x + 3)(x  2)
17. For question 16, exercises b) and c), solve for x:
x =
6
and
4
x =
0
,
3
and
2
18. You have 3 CDs. How many different ways can you listen to them?
6
19. Use the following data to construct a box and whiskers plot:
4, 11, 8, 23, 25, 16, 30, 24, 21, 39
20. A bag contains 5 blue balls, 7 red balls, and 3 white balls. You pick a ball from the bag and return it to the bag. What is the probability of picking:
A white ball?
20.00%
A blue ball or red ball?
80.00%
Two red balls?
21.78%
A blue ball and a white ball?
6.67%
21. Solve and graph the following systems of linear equations:
x + y = 19 x  y = 6
A(6.5,12.5)
9x  5y = 13 3x + 9y = 18
B(0.28,2.09)
22. Write the following fractions in simplest form:
14x^{4}y
7x^{10}y
2
x^{6}
x^{7} + 6x^{6} + 8x^{5}
x^{2}(x + 4)
x^{3}(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.
4x  60 = x^{2}
x_{1} = 6, x_{2} = 10
24. Convert the following repeating decimal into a fraction:
x =
3.52
317
90
25. Solve the following equation:

10
x
= 13
x =
100
169
26. Rationalize the denominator of each fraction below:
4
3 
7
6 + 2
7
27. Use a trigonometric ratio to find x:
x = 19.00 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 east and 16 blocks north. How far are you from your house?
I am
20
blocks from my house.
30. The length of a rectangle is 6 more than twice its width. The area of the rectangle is 176ft^{2}. What is the length and width of the rectangle?
15. Find the greatest common factor of the following terms:
75, 36
3
40x^{9}y^{10}, 36x^{8}y^{8}, 18x^{10}y^{8}
2x^{8}y^{8}
16. Factor the following polynomials:
27x^{5}  90x^{4} + 48x^{3}
27x^{3}(x 
2
3
)(x 
8
3
)
x^{2}  18x + 80
(x  8)(x  10)
x^{6} + 5x^{5}  14x^{4}
x^{4}(x + 7)(x  2)
17. For question 16, exercises b) and c), solve for x:
x =
8
and
10
x =
0
,
7
and
2
18. You have 5 pants, 2 shirts, and 2 shoes. How many different ways can you dress?
20
19. Use the following data to construct a box and whiskers plot:
22, 28, 12, 32, 11, 31, 26, 17, 25
20. A bag contains 2 blue balls, 6 red balls, and 4 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?
25.00%
A blue ball and a white ball?
5.56%
21. Solve and graph the following systems of linear equations:
x + y = 20 x  y = 1
A(9.5,10.5)
2x  3y = 10 9x + 6y = 6
B(2,2)
22. Write the following fractions in simplest form:
18x^{5}y^{2}
72x^{10}y^{3}
1
4x^{5}y
x(x  4)
x^{4} + 4x^{3}  32x^{2}
1
x(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.
4x = x^{2}  60
x_{1} = 6, x_{2} = 10
24. Convert the following repeating decimal into a fraction:
x =
0.242
240
990
25. Solve the following equation:

2x + 9
+ 14 = 11
x = 308
26. Rationalize the denominator of each fraction below:
7
25 
3
175 + 7
3
622
27. Use a trigonometric ratio to find x:
x = 24.00 cm
28. The sum of two consecutive odd integers is 40. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=19, b=21
29. After you leave your house, you walk 12 blocks south and 5 blocks west. How far are you from your house?
I am
13
blocks from my house.
30. A rectangle has an area of 255m^{2}. Its width is 2 m less than its length. What are the dimensions of the rectangle?
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