13. Multiply the following polynomials and simplify:
(9x^{5} + 7x^{3} + 3x^{2})(10x^{4} + 4x)
90x^{9} + 70x^{7} + 66x^{6} + 28x^{4} + 12x^{3}
(3x^{5} + 6x + 8)(5x^{3} + 1)
15x^{8} + 3x^{5} + 30x^{4} + 40x^{3} + 6x + 8
14. Divide:
10x^{2}  46x  20 / 5x + 2
2x  10
15. Find the greatest common factor of the following terms:
90, 60, 14
2
54x^{5}y^{5}, 12x^{8}y^{7}, 80x^{7}y^{7}
2x^{5}y^{5}
16. Factor the following polynomials:
32x^{5}  88x^{4} + 36x^{3}
32x^{3}(x 
9
4
)(x 
1
2
)
x^{2}  6x + 9
(x  3)(x  3)
x^{6} + 9x^{5} + 20x^{4}
x^{4}(x + 5)(x + 4)
17. For question 16, exercises b) and c), solve for x:
x =
3
and
3
x =
0
,
5
and
4
18. You are seating 5 people on 5 chairs. How many different ways can those people sit?
120
19. Use the following data to construct a box and whiskers plot:
19, 36, 35, 39, 9, 5, 32, 40, 38, 24
20. A bag contains 3 blue balls, 5 red balls, and 2 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?
25.00%
A blue ball and a white ball?
6.00%
21. Solve and graph the following systems of linear equations:
x + y = 8 x  y = 1
A(3.5,4.5)
10x  4y = 2 4x + 8y = 19
B(0.63,2.06)
22. Write the following fractions in simplest form:
7x^{7}y^{3}
28x^{2}y^{6}
x^{5}
4y^{3}
(x + 9)
(x^{2} + 18x + 81)
1
x + 9
23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
6x = x^{2}  40
x_{1} = 4, x_{2} = 10
24. Convert the following repeating decimal into a fraction:
x =
0.4436
4392
9900
25. Solve the following equation:
9 
x  6
= 11
x = 10
26. Rationalize the denominator of each fraction below:
2
3
 15

3
+ 15
111
27. Use a trigonometric ratio to find x:
x = 12.12 cm
28. The sum of two consecutive odd integers is 56. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=27, b=29
29. After you leave your house, you walk 9 blocks south and 12 blocks west. How far are you from your house?
I am
15
blocks from my house.
30. The length of a rectangle is 4 less than 2 times the width. What are the dimensions of the rectangle if the area is 160ft^{2}?
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