15. Find the greatest common factor of the following terms:
90, 260
10
160xy^{5}, 60x^{6}y^{8}
20xy^{5}
16. Factor the following polynomials:
22x^{4} + 22x^{3}  44x^{2}
22x^{2}(x + 2)(x  1)
x^{2} + 18x + 80
(x + 8)(x + 10)
x^{9} + 20x^{8} + 84x^{7}
x^{7}(x + 6)(x + 14)
17. For question 16, exercises b) and c), solve for x:
x =
8
and
10
x =
0
,
6
and
14
18. You have 4 pants, 2 shirts, and 2 shoes. How many different ways can you dress?
16
19. Use the following data to construct a box and whiskers plot:
1, 5, 21, 27, 2, 14, 20, 6, 36
20. A bag contains 6 blue balls, 2 red balls, and 7 white balls. You pick a ball from the bag and return it to the bag. What is the probability of picking:
A white ball?
46.67%
A blue ball or red ball?
53.33%
Two red balls?
1.78%
A blue ball and a white ball?
18.67%
21. Solve and graph the following systems of linear equations:
x + y = 3 x  y = 20
A(11.5,8.5)
10x  2y = 20 12x + 3y = 3
B(1,5)
22. Write the following fractions in simplest form:
22x^{8}y^{7}
88x^{8}y^{6}
y
4
(x  3)^{6}
(x  3)
(x  3)^{5}
23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
39 = x^{2}  16x
x_{1} = 13, x_{2} = 3
24. Convert the following repeating decimal into a fraction:
x =
0.7
7
9
25. Solve the following equation:

15
x
= 3
x = 25
26. Rationalize the denominator of each fraction below:
9
4
9
2
27. Use a trigonometric ratio to find x:
x = 23.00 cm
28. The sum of two consecutive even integers is 50. What are the integers? (Hint: use 2x as the first even integer)
a=24, b=26
29. After you leave your house, you walk 9 blocks east and 12 blocks north. How far are you from your house?
I am
15
blocks from my house.
30. Each side of a square is decreased by 10 ft. The area of the newly created square is 16ft^{2}. What was the original length of one side of the square?
15. Find the greatest common factor of the following terms:
132, 168
12
45x^{8}y^{6}, 490x^{9}y^{8}, 288x^{6}y^{8}
x^{6}y^{6}
16. Factor the following polynomials:
7x^{3} + 49x^{2} + 56x
7x(x 
7 +
17
2
)(x 
7 
17
2
)
x^{2} + 2x  35
(x + 7)(x  5)
x^{7}  5x^{6}  104x^{5}
x^{5}(x + 8)(x  13)
17. For question 16, exercises b) and c), solve for x:
x =
7
and
5
x =
0
,
8
and
13
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:
30, 22, 13, 21, 9, 18, 17, 2, 23
20. Suppose you toss a coin and spin a spinner numbered 1 through 8
What is the probability of getting heads and 6?
6.25%
What is the probability of getting tails and an even number?
25%
What is the probability of getting heads and a multiple of 4?
12.5%
What is the probability of getting heads and a prime number?
25%
What is the probability of not heads and not 3?
43.75%
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 heads?
50%
21. Solve and graph the following systems of linear equations:
x + y = 3 x  y = 8
A(2.5,5.5)
6x  8y = 19 8x + 7y = 17
B(2.54,0.47)
22. Write the following fractions in simplest form:
17x^{3}y^{7}
68x^{7}y^{2}
y^{5}
4x^{4}
x^{6}(x + 4)
x^{4}  6x^{3}  40x^{2}
x^{4}
(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.
90 = x^{2} + x
x_{1} = 9, x_{2} = 10
24. Convert the following repeating decimal into a fraction:
x =
0.18
17
90
25. Solve the following equation:
2x  6
+ 1 = 5
x = 11
26. Rationalize the denominator of each fraction below:
3
2 +
5
(6  3
5
)
27. Use a trigonometric ratio to find x:
x = 28.00 cm
28. The sum of two consecutive even integers is 18. What are the integers? (Hint: use 2x as the first even integer)
a=8, b=10
29. After you leave your house, you walk 8 blocks north and 6 blocks west. How far are you from your house?
I am
10
blocks from my house.
30. Each side of a square is lengthened by 10 ft. This makes the area of the square 361ft^{2}. What is the original length of a side of the square?
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