13. Multiply the following polynomials and simplify:
(5x^{4} + 7x^{2})8
40x^{4}  56x^{2}
(5x^{5} + 5x^{2})(1x + 8)
5x^{6} + 40x^{5} + 5x^{3} + 40x^{2}
14. Divide:
3x^{3} + 15x^{2} + x + 5 / x + 5
3x^{2} + 1
15. Find the greatest common factor of the following terms:
10, 44
2
9x^{7}y^{5}, 60x^{8}y^{2}, 11xy^{3}
xy^{2}
16. Factor the following polynomials:
20x^{5}  29x^{4} + 9x^{3}
20x^{3}(x 
9
20
)(x  1)
x^{2}  19x + 90
(x  10)(x  9)
x^{7}  2x^{6} + x^{5}
x^{5}(x  1)(x  1)
17. For question 16, exercises b) and c), solve for x:
x =
10
and
9
x =
0
,
1
and
1
18. You are seating 6 people on 6 chairs. How many different ways can those people sit?
720
19. Use the following data to construct a box and whiskers plot:
6, 28, 15, 29, 20, 40, 7, 23
20. A bag contains 5 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?
16.67%
A blue ball or red ball?
83.33%
Two red balls?
17.36%
A blue ball and a white ball?
6.94%
21. Solve and graph the following systems of linear equations:
x + y = 14 x  y = 1
A(6.5,7.5)
5x  2y = 5 6x + 3y = 4
B(0.85,0.37)
22. Write the following fractions in simplest form:
52x^{3}y^{9}
13x^{3}y^{5}
4y^{4}
(x  8)^{5}
(x  8)^{2}
(x  8)^{3}
23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
44 = x^{2} + 20x
x_{1} = 22, x_{2} = 2
24. Convert the following repeating decimal into a fraction:
x =
0.3
3
9
25. Solve the following equation:
5
x
+ 8 = 1
x
+ 2
x = 1
26. Rationalize the denominator of each fraction below:
6
5
 15

3
5
+ 45
110
27. Use a trigonometric ratio to find x:
x = 16.74 cm
28. The sum of two consecutive odd integers is 20. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=9, b=11
29. After you leave your house, you walk 12 blocks south and 5 blocks east. How far are you from your house?
I am
13
blocks from my house.
30. A rectangle has a length 9 ft greater than its width. The area of the rectangle is 52ft^{2}. What are the length and width of the rectangle?