13. Multiply the following polynomials and simplify:
(1x^{4} + 3x^{3} + 3x)(2x^{3}  2)
2x^{7} + 6x^{6} + 4x^{4}  6x^{3}  6x
(2x^{3} + 10x^{2})(10x^{4} + 6x^{2})
20x^{7} + 100x^{6} + 12x^{5} + 60x^{4}
14. Divide:
2x^{3}  6x^{2}  3x + 9 / x  3
2x^{2}  3
15. Find the greatest common factor of the following terms:
55, 90, 18
1
36x^{8}y^{2}, 90x^{2}y^{3}, 27x^{4}y^{6}
9x^{2}y^{2}
16. Factor the following polynomials:
4x^{5}  32x^{4} + 45x^{3}
4x^{3}(x 
8 +
19
2
)(x 
8 
19
2
)
x^{2}  5x  14
(x + 2)(x  7)
x^{7} + 4x^{6}  21x^{5}
x^{5}(x  3)(x + 7)
17. For question 16, exercises b) and c), solve for x:
x =
2
and
7
x =
0
,
3
and
7
18. You can purchase your ice cream in a cup or a cone. Orders can be one, two, three, or four scoops. Flavors can be chocolate or vanilla. How many choices do you have?
16
19. Use the following data to construct a box and whiskers plot:
21, 31, 34, 38, 35, 13, 16, 29, 10, 40
20. A bag contains 2 blue balls, 2 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?
55.56%
A blue ball or red ball?
44.44%
Two red balls?
4.94%
A blue ball and a white ball?
12.35%
21. Solve and graph the following systems of linear equations:
x + y = 9 x  y = 6
A(1.5,7.5)
2x  y = 1 7x + 2y = 10
B(1.09,1.18)
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)^{4}
1
(x + 10)^{2}
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} = 4x  12
x_{1} = 2, x_{2} = 6
24. Convert the following repeating decimal into a fraction:
x =
0.4
4
9
25. Solve the following equation:

2x  1
+ 2 = 3
x = 13
26. Rationalize the denominator of each fraction below:
6
6
+ 35

6
6
 210
1219
27. Use a trigonometric ratio to find x:
x = 54.00 cm
28. The sum of two consecutive even integers is 38. What are the integers? (Hint: use 2x as the first even integer)
a=18, b=20
29. After you leave your house, you walk 6 blocks west and 8 blocks north. How far are you from your house?
I am
10
blocks from my house.
30. A rectangle has a width that is 4 m less than its length. The area of the rectangle is 45m^{2}. What are the dimensions of the rectangle?