15. Find the greatest common factor of the following terms:
50, 36
2
72x^{9}y^{4}, 54xy^{10}, 66y^{10}
6y^{4}
16. Factor the following polynomials:
30x^{5} + 90x^{4} + 66x^{3}
30x^{3}(x 
15 +
5
10
)(x 
15 
5
10
)
x^{2} + 0x  9
(x + 3)(x  3)
x^{9} + 11x^{8} + 18x^{7}
x^{7}(x + 2)(x + 9)
17. For question 16, exercises b) and c), solve for x:
x =
3
and
3
x =
0
,
2
and
9
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:
12, 17, 5, 13, 16, 18, 28, 33, 11, 9
20. A bag contains 6 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?
38.46%
A blue ball or red ball?
61.54%
Two red balls?
2.37%
A blue ball and a white ball?
17.75%
21. Solve and graph the following systems of linear equations:
x + y = 9 x  y = 18
A(13.5,4.5)
6x  y = 20 x + 9y = 7
B(3.15,1.13)
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)
(x^{2}  20x + 100)
1
x  10
23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
40x = x^{2} + 39
x_{1} = 1, x_{2} = 39
24. Convert the following repeating decimal into a fraction:
x =
6.7
61
9
25. Solve the following equation:
2
x
= 10
x =
4
100
26. Rationalize the denominator of each fraction below:
4
2
+ 15

4
2
 60
223
27. Use a trigonometric ratio to find x:
x = 30.31 cm
28. The sum of two consecutive even integers is 58. What are the integers? (Hint: use 2x as the first even integer)
a=28, b=30
29. After you leave your house, you walk 5 blocks north and 12 blocks west. How far are you from your house?
I am
13
blocks from my house.
30. A rectangle has a width that is 8 m less than its length. The area of the rectangle is 9m^{2}. What are the dimensions of the rectangle?