13. Multiply the following polynomials and simplify:
(8x^{2} + 4x + 9)4x^{4}
32x^{6} + 16x^{5} + 36x^{4}
(4x  1)(9x^{3} + 9x^{2})
36x^{4} + 27x^{3}  9x^{2}
14. Divide:
6x^{2}  42x + 72 / 3x  9
2x  8
15. Find the greatest common factor of the following terms:
55, 22, 75
1
90y^{8}, 15x^{4}y^{4}
15y^{4}
16. Factor the following polynomials:
3x^{3}  27x^{2}  66x
3x(x + 2)(x  11)
x^{2}  4x  5
(x + 1)(x  5)
x^{8}  12x^{7}  45x^{6}
x^{6}(x  15)(x + 3)
17. For question 16, exercises b) and c), solve for x:
x =
1
and
5
x =
0
,
15
and
3
18. How many ways can 3 people wait in line?
6
19. Use the following data to construct a box and whiskers plot:
18, 33, 14, 2, 11, 22, 34
20. A bag contains 6 blue balls, 5 red balls, and 6 white balls. You pick a ball from the bag and return it to the bag. What is the probability of picking:
A white ball?
35.29%
A blue ball or red ball?
64.71%
Two red balls?
8.65%
A blue ball and a white ball?
12.46%
21. Solve and graph the following systems of linear equations:
x + y = 14 x  y = 10
A(2,12)
10x  2y = 9 6x + y = 17
B(1.95,5.27)
22. Write the following fractions in simplest form:
16x^{7}y^{7}
64x^{5}y^{7}
x^{2}
4
x^{4} + 9x^{3}  10x^{2}
x(x  1)
x(x + 10)
23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
2x = x^{2}  8
x_{1} = 4, x_{2} = 2
24. Convert the following repeating decimal into a fraction:
x =
0.30
30
99
25. Solve the following equation:
x  9
 16 = 16
x = 9
26. Rationalize the denominator of each fraction below:
5
14 +
7
70  5
7
189
27. Use a trigonometric ratio to find x:
x = 28.87 cm
28. The sum of two consecutive odd integers is 52. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=25, b=27
29. After you leave your house, you walk 6 blocks west and 8 blocks south. How far are you from your house?
I am
10
blocks from my house.
30. A rectangle has an area of 54ft^{2}. Its width is 3 ft less than its length. What are the dimensions of the rectangle?
13. Multiply the following polynomials and simplify:
4x(9x^{5} + 8x^{4}  10)
36x^{6} + 32x^{5}  40x
(2x^{2}  5)(2x^{2} + 6x  3)
4x^{4} + 12x^{3}  16x^{2}  30x + 15
14. Divide:
10x^{3} + 18x^{2} + 5x + 9 / 5x + 9
2x^{2} + 1
15. Find the greatest common factor of the following terms:
66, 80
2
70x^{2}y^{2}, 72x^{7}y^{5}
2x^{2}y^{2}
16. Factor the following polynomials:
28x^{5} + 35x^{4}  63x^{3}
28x^{3}(x +
9
4
)(x  1)
x^{2}  14x + 40
(x  4)(x  10)
x^{5} + 8x^{4}  105x^{3}
x^{3}(x  7)(x + 15)
17. For question 16, exercises b) and c), solve for x:
x =
4
and
10
x =
0
,
7
and
15
18. You have 4 books to read. How many different ways can you read your books?
24
19. Use the following data to construct a box and whiskers plot:
17, 36, 23, 24, 34, 26, 35, 7, 14, 6
20. A bag contains 5 blue balls, 4 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?
8.16%
A blue ball and a white ball?
12.76%
21. Solve and graph the following systems of linear equations:
x + y = 7 x  y = 9
A(1,8)
14x  6y = 18 x + y = 17
B(6,11)
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^{2} + 12x + 36)
(x + 6)
x + 6
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}  66 = 31x
x_{1} = 33, x_{2} = 2
24. Convert the following repeating decimal into a fraction:
x =
8.673
7806
900
25. Solve the following equation:
5
x
+ 6 = 7
x
+ 16
x = 25
26. Rationalize the denominator of each fraction below:
10
2
+ 14

5
2
 70
97
27. Use a trigonometric ratio to find x:
x = 17.68 cm
28. The sum of two consecutive even integers is 30. What are the integers? (Hint: use 2x as the first even integer)
a=14, b=16
29. After you leave your house, you walk 5 blocks west and 12 blocks south. How far are you from your house?
I am
13
blocks from my house.
30. A rectangle has a length 10 ft greater than its width. The area of the rectangle is 264ft^{2}. What are the length and width of the rectangle?
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