13. Multiply the following polynomials and simplify:
(1x^{3}  8)3x^{4}
3x^{7}  24x^{4}
(8x^{3} + 7x)(7x^{4}  2)
56x^{7} + 49x^{5}  16x^{3}  14x
14. Divide:
8x^{3}  8x^{2} + 20x  20 / 2x  2
4x^{2} + 10
15. Find the greatest common factor of the following terms:
65, 52, 60
1
30x^{7}y^{9}, 36x^{7}y^{8}
6x^{7}y^{8}
16. Factor the following polynomials:
24x^{5}  95x^{4}  4x^{3}
24x^{3}(x +
1
24
)(x  4)
x^{2} + 14x + 48
(x + 8)(x + 6)
x^{6} + 15x^{5} + 56x^{4}
x^{4}(x + 8)(x + 7)
17. For question 16, exercises b) and c), solve for x:
x =
8
and
6
x =
0
,
8
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, vanilla, strawberry or peach. How many choices do you have?
32
19. Use the following data to construct a box and whiskers plot:
21, 4, 30, 25, 26, 34, 27, 7
20. Suppose you toss a coin and spin a spinner numbered 1 through 9
What is the probability of getting heads and 5?
5.56%
What is the probability of getting tails and an even number?
22.22%
What is the probability of getting tails and a multiple of 2?
22.22%
What is the probability of getting heads and a prime number?
22.22%
What is the probability of not tails and not 4?
44.44%
What is the probability of getting not heads 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 = 3 x  y = 5
A(4,1)
x  9y = 1 2x + 2y = 10
B(4.6,0.4)
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^{3}  7x^{2} + 10x
x^{5}(x  5)
(x  2)
x^{4}
23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
20 = x^{2}  x
x_{1} = 4, x_{2} = 5
24. Convert the following repeating decimal into a fraction:
x =
3.679
3312
900
25. Solve the following equation:
12
x
+ 12 = 13
x
+ 16
x = 16
26. Rationalize the denominator of each fraction below:
15
2 +
35

30  15
35
31
27. Use a trigonometric ratio to find x:
x = 32.33 cm
28. The sum of two consecutive odd integers is 48. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=23, b=25
29. After you leave your house, you walk 12 blocks south and 16 blocks east. How far are you from your house?
I am
20
blocks from my house.
30. A rectangle has a length 10 m greater than its width. The area of the rectangle is 200m^{2}. What are the length and width of the rectangle?