13. Multiply the following polynomials and simplify:
(9x^{4} + 10x^{2}  3)(9x^{5} + 6x^{3} + 7x)
81x^{9} + 144x^{7} + 96x^{5} + 52x^{3}  21x
(2x^{5} + 8x + 2)(3x^{4} + 2x)
6x^{9} + 4x^{6} + 24x^{5} + 6x^{4} + 16x^{2} + 4x
14. Divide:
10x^{3}  12x^{2} + 10x  12 / 5x  6
2x^{2} + 2
15. Find the greatest common factor of the following terms:
260, 378, 195
1
360, 110x^{7}y^{8}, 294x^{5}y^{2}
2
16. Factor the following polynomials:
42x^{5}  67x^{4} + 26x^{3}
42x^{3}(x 
13
14
)(x 
2
3
)
x^{2} + 3x  54
(x + 9)(x  6)
x^{5} + 3x^{4}  40x^{3}
x^{3}(x  5)(x + 8)
17. For question 16, exercises b) and c), solve for x:
x =
9
and
6
x =
0
,
5
and
8
18. You can purchase your ice cream in a cup or a cone. Orders can be one, two, or three scoops. Flavors can be chocolate, vanilla, strawberry or peach. How many choices do you have?
24
19. Use the following data to construct a box and whiskers plot:
9, 8, 17, 36, 23, 2, 31, 11, 27, 5
20. Suppose you toss a coin and spin a spinner numbered 1 through 10
What is the probability of getting tails and 9?
5.00%
What is the probability of getting tails and an even number?
25%
What is the probability of getting tails and a multiple of 4?
10%
What is the probability of getting heads and a prime number?
20%
What is the probability of not heads and not 1?
45%
What is the probability of getting not tails and not a whole number?
0%
What is the probability of heads or tails and a whole number?
100%
What is the probability of getting tails?
50%
21. Solve and graph the following systems of linear equations:
x + y = 18 x  y = 7
A(12.5,5.5)
3x  y = 15 7x + 7y = 9
B(3.43,4.71)
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^{6}  7x^{5}  18x^{4}
x(x + 2)
x^{3}(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.
x^{2} + 84 = 20x
x_{1} = 14, x_{2} = 6
24. Convert the following repeating decimal into a fraction:
x =
0.4457
4413
9900
25. Solve the following equation:
40
x
= 2
x = 10
26. Rationalize the denominator of each fraction below:
7
5 
35

35 + 7
35
10
27. Use a trigonometric ratio to find x:
x = 34.00 cm
28. The sum of two consecutive even integers is 42. What are the integers? (Hint: use 2x as the first even integer)
a=20, b=22
29. After you leave your house, you walk 6 blocks east and 8 blocks south. How far are you from your house?
I am
10
blocks from my house.
30. Each side of a square is decreased by 10 ft. The area of the newly created square is 4ft^{2}. What was the original length of one side of the square?