15. Find the greatest common factor of the following terms:
48, 45, 36
3
84x^{5}y^{10}, 26x^{6}y^{6}
2x^{5}y^{6}
16. Factor the following polynomials:
28x^{4}  76x^{3} + 50x^{2}
28x^{2}(x 
19 +
11
14
)(x 
19 
11
14
)
x^{2}  7x + 10
(x  5)(x  2)
x^{7} + 28x^{6} + 195x^{5}
x^{5}(x + 15)(x + 13)
17. For question 16, exercises b) and c), solve for x:
x =
5
and
2
x =
0
,
15
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, vanilla or strawberry. How many choices do you have?
24
19. Use the following data to construct a box and whiskers plot:
24, 6, 21, 19, 26, 15, 10, 8, 11
20. A bag contains 7 blue balls, 5 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?
20.00%
A blue ball or red ball?
80.00%
Two red balls?
11.11%
A blue ball and a white ball?
9.33%
21. Solve and graph the following systems of linear equations:
x + y = 17 x  y = 12
A(14.5,2.5)
3x  8y = 11 2x + y = 5
B(1.53,1.95)
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^{2}  8x + 16)
(x  4)
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.
x^{2}  23x = 42
x_{1} = 2, x_{2} = 21
24. Convert the following repeating decimal into a fraction:
x =
0.110
109
990
25. Solve the following equation:
19
x
+ 14 = 20
x
 3
x = 289
26. Rationalize the denominator of each fraction below:
6
6
+ 5

6
6
 30
19
27. Use a trigonometric ratio to find x:
x = 15.00 cm
28. The sum of two consecutive even integers is 34. What are the integers? (Hint: use 2x as the first even integer)
a=16, b=18
29. After you leave your house, you walk 16 blocks east and 12 blocks south. How far are you from your house?
I am
20
blocks from my house.
30. A rectangle has a length 8 m greater than its width. The area of the rectangle is 65m^{2}. What are the length and width of the rectangle?
13. Multiply the following polynomials and simplify:
(7x^{3} + 7x^{2})(5x^{4} + x)
35x^{7} + 35x^{6} + 7x^{4} + 7x^{3}
(4x^{4} + 5)(7x^{5} + 3x^{3})
28x^{9} + 12x^{7} + 35x^{5} + 15x^{3}
14. Divide:
8x^{2}  40x + 47 / 2x  7
(4x  6) with a remainder of 5
15. Find the greatest common factor of the following terms:
66, 99, 90
3
42y^{8}, 60x^{5}y^{2}
6y^{2}
16. Factor the following polynomials:
15x^{3} + 12x^{2}  27x
15x(x  1)(x +
9
5
)
x^{2} + x  30
(x  5)(x + 6)
x^{4} + 7x^{3}  98x^{2}
x^{2}(x + 14)(x  7)
17. For question 16, exercises b) and c), solve for x:
x =
5
and
6
x =
0
,
14
and
7
18. You have 6 CDs. How many different ways can you listen to them?
720
19. Use the following data to construct a box and whiskers plot:
15, 32, 28, 9, 20, 36, 26, 11, 7, 10
20. A bag contains 2 blue balls, 6 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?
27.27%
A blue ball or red ball?
72.73%
Two red balls?
29.75%
A blue ball and a white ball?
4.96%
21. Solve and graph the following systems of linear equations:
x + y = 16 x  y = 19
A(17.5,1.5)
9x  12y = 12 2x + 4y = 16
B(4,2)
22. Write the following fractions in simplest form:
60x^{5}y^{3}
20x^{2}y
3x^{3}y^{2}
(x + 4)
(x^{2} + 8x + 16)
1
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.
11x  42 = x^{2}
x_{1} = 3, x_{2} = 14
24. Convert the following repeating decimal into a fraction:
x =
5.330
5277
990
25. Solve the following equation:
20
x
= 2
x = 5
26. Rationalize the denominator of each fraction below:
10
5
7 +
14
14
5
 2
70
7
27. Use a trigonometric ratio to find x:
x = 15.59 cm
28. The sum of two consecutive even integers is 62. What are the integers? (Hint: use 2x as the first even integer)
a=30, b=32
29. After you leave your house, you walk 5 blocks south and 12 blocks east. How far are you from your house?
I am
13
blocks from my house.
30. The length of a rectangle is 2 more than twice its width. The area of the rectangle is 60m^{2}. What is the length and width of the rectangle?
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