13. Multiply the following polynomials and simplify:
10x^{4}(5x^{5} + 4x^{2})
50x^{9} + 40x^{6}
(4x + 9)(5x^{4} + 6x)
20x^{5} + 45x^{4} + 24x^{2} + 54x
14. Divide:
12x^{2}  6 / 4x + 4
(3x  3) with a remainder of 6
15. Find the greatest common factor of the following terms:
100, 10, 55
5
96x^{7}y^{7}, 24xy^{10}, 66x^{3}y^{8}
6xy^{7}
16. Factor the following polynomials:
10x^{3} + 18x^{2} + 7x
10x(x 
9 +
11
10
)(x 
9 
11
10
)
x^{2}  4x  5
(x  5)(x + 1)
x^{9} + 23x^{8} + 126x^{7}
x^{7}(x + 9)(x + 14)
17. For question 16, exercises b) and c), solve for x:
x =
5
and
1
x =
0
,
9
and
14
18. You have 3 pants, 5 shirts, and 5 shoes. How many different ways can you dress?
75
19. Use the following data to construct a box and whiskers plot:
1, 22, 13, 3, 26, 12, 35, 7, 15
20. A bag contains 5 blue balls, 5 red balls, and 7 white balls. You pick a ball from the bag and return it to the bag. What is the probability of picking:
A white ball?
41.18%
A blue ball or red ball?
58.82%
Two red balls?
8.65%
A blue ball and a white ball?
12.11%
21. Solve and graph the following systems of linear equations:
x + y = 13 x  y = 18
A(15.5,2.5)
8x  3y = 17 2x + 3y = 9
B(2.6,1.27)
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 + 10)^{2}
(x + 10)^{7}
1
(x + 10)^{5}
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} + 8x = 12
x_{1} = 2, x_{2} = 6
24. Convert the following repeating decimal into a fraction:
x =
0.73
73
99
25. Solve the following equation:
12
x
= 2
x = 3
26. Rationalize the denominator of each fraction below:
25
10
 7

25
10
+ 175
39
27. Use a trigonometric ratio to find x:
x = 26.16 cm
28. The sum of two consecutive odd integers is 32. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=15, b=17
29. After you leave your house, you walk 6 blocks east and 8 blocks north. How far are you from your house?
I am
10
blocks from my house.
30. A rectangle has a length 8 ft greater than its width. The area of the rectangle is 33ft^{2}. What are the length and width of the rectangle?