13. Multiply the following polynomials and simplify:
(4x^{5} + 6x^{4})(7x^{5} + 10x^{3})
28x^{10} + 42x^{9} + 40x^{8} + 60x^{7}
(8x^{2} + 4x)(1x^{5} + 5x^{2} + x)
8x^{7} + 4x^{6} + 40x^{4} + 28x^{3} + 4x^{2}
14. Divide:
6x^{2}  8x + 10 / 2x  4
(3x + 2) with a remainder of 18
15. Find the greatest common factor of the following terms:
48, 30, 70
2
33x^{7}y^{3}, 77x^{7}y^{8}, 27xy^{6}
xy^{3}
16. Factor the following polynomials:
45x^{3} + 21x^{2}  24x
45x(x 
8
15
)(x + 1)
x^{2} + 0x  36
(x + 6)(x  6)
x^{5} + 8x^{4}  20x^{3}
x^{3}(x  2)(x + 10)
17. For question 16, exercises b) and c), solve for x:
x =
6
and
6
x =
0
,
2
and
10
18. You have 4 pants, 5 shirts, and 5 shoes. How many different ways can you dress?
100
19. Use the following data to construct a box and whiskers plot:
4, 32, 17, 21, 33, 29, 36, 26, 22
20. A bag contains 3 blue balls, 5 red balls, and 4 white balls. You pick a ball from the bag and put it in your pocket. What is the probability of picking:
A white ball?
33.33%
A blue ball or red ball?
66.67%
Two red balls?
15.15%
A blue ball and a white ball?
9.09%
21. Solve and graph the following systems of linear equations:
x + y = 14 x  y = 6
A(4,10)
3x  4y = 7 10x + 3y = 5
B(0.84,1.12)
22. Write the following fractions in simplest form:
14x^{10}y^{4}
7x^{7}y^{5}
2x^{3}
y
x(x  1)
x^{5}  6x^{4} + 5x^{3}
1
x^{2}(x  5)
23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
16x + 15 = x^{2}
x_{1} = 15, x_{2} = 1
24. Convert the following repeating decimal into a fraction:
x =
0.6
6
9
25. Solve the following equation:
6 
5x + 10
= 9
x = 43
26. Rationalize the denominator of each fraction below:
49
14
 6

49
14
+ 294
22
27. Use a trigonometric ratio to find x:
x = 15.00 cm
28. The sum of two consecutive odd integers is 36. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=17, b=19
29. After you leave your house, you walk 12 blocks north and 9 blocks west. How far are you from your house?
I am
15
blocks from my house.
30. A rectangle has a width that is 4 m less than its length. The area of the rectangle is 21m^{2}. What are the dimensions of the rectangle?