15. Find the greatest common factor of the following terms:
42, 45
3
10x^{10}y^{6}, 90x^{10}y^{8}
10x^{10}y^{6}
16. Factor the following polynomials:
48x^{4}  28x^{3}  48x^{2}
48x^{2}(x 
4
3
)(x +
3
4
)
x^{2} + x  90
(x + 10)(x  9)
x^{5}  7x^{4}  78x^{3}
x^{3}(x + 6)(x  13)
17. For question 16, exercises b) and c), solve for x:
x =
10
and
9
x =
0
,
6
and
13
18. How many ways can 3 people wait in line?
6
19. Use the following data to construct a box and whiskers plot:
38, 27, 9, 6, 36, 34, 10, 37
20. Suppose you toss a coin and spin a spinner numbered 1 through 10
What is the probability of getting heads and 2?
5.00%
What is the probability of getting tails and an odd number?
25%
What is the probability of getting heads and a multiple of 3?
15%
What is the probability of getting heads and a prime number?
20%
What is the probability of not tails and not 6?
45%
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 = 15 x  y = 9
A(3,12)
8x  10y = 19 x + 2y = 11
B(2.77,4.12)
22. Write the following fractions in simplest form:
50x^{9}y^{3}
25xy^{5}
2x^{8}
y^{2}
x^{8} + 11x^{7} + 18x^{6}
x^{4}(x + 2)
x^{2}(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} + 33 = 34x
x_{1} = 33, x_{2} = 1
24. Convert the following repeating decimal into a fraction:
x =
0.98
98
99
25. Solve the following equation:
15
x
 5 = 20
x
 10
x = 1
26. Rationalize the denominator of each fraction below:
6
5 
21
15 + 3
21
2
27. Use a trigonometric ratio to find x:
x = 8.66 cm
28. The sum of two consecutive even integers is 54. What are the integers? (Hint: use 2x as the first even integer)
a=26, b=28
29. After you leave your house, you walk 15 blocks east and 8 blocks north. How far are you from your house?
I am
17
blocks from my house.
30. Each side of a square is decreased by 10 m. The area of the newly created square is 196m^{2}. What was the original length of one side of the square?
15. Find the greatest common factor of the following terms:
36, 72
36
45x^{7}y^{3}, 84x^{6}y^{5}
3x^{6}y^{3}
16. Factor the following polynomials:
28x^{3} + 99x^{2} + 81x
28x(x +
9
7
)(x +
9
4
)
x^{2} + 4x  45
(x  5)(x + 9)
x^{4}  2x^{3}  48x^{2}
x^{2}(x + 6)(x  8)
17. For question 16, exercises b) and c), solve for x:
x =
5
and
9
x =
0
,
6
and
8
18. You are seating 4 people on 4 chairs. How many different ways can those people sit?
24
19. Use the following data to construct a box and whiskers plot:
23, 27, 12, 18, 6, 14, 3
20. A bag contains 3 blue balls, 4 red balls, and 3 white balls. You pick a ball from the bag and return it to the bag. What is the probability of picking:
A white ball?
30.00%
A blue ball or red ball?
70.00%
Two red balls?
16.00%
A blue ball and a white ball?
9.00%
21. Solve and graph the following systems of linear equations:
x + y = 7 x  y = 7
A(0,7)
3x  6y = 8 5x + 5y = 15
B(1.11,1.89)
22. Write the following fractions in simplest form:
40x^{5}y^{4}
20xy^{2}
2x^{4}y^{2}
(x^{2} + 14x + 49)
(x + 7)
x + 7
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}  90 = 9x
x_{1} = 15, x_{2} = 6
24. Convert the following repeating decimal into a fraction:
x =
0.428
386
900
25. Solve the following equation:
13 +
3x  3
= 4
x = 28
26. Rationalize the denominator of each fraction below:
10
2
 35

10
2
+ 350
1223
27. Use a trigonometric ratio to find x:
x = 24.25 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 6 blocks south and 8 blocks east. How far are you from your house?
I am
10
blocks from my house.
30. The length of a rectangle is 6 more than thrice its width. The area of the rectangle is 45m^{2}. What is the length and width of the rectangle?
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