15. Find the greatest common factor of the following terms:
88, 78
2
63x^{3}y, 52x^{10}y^{5}
x^{3}y
16. Factor the following polynomials:
15x^{3} + 70x^{2}  85x
15x(x  1)(x +
17
3
)
x^{2}  14x + 40
(x  4)(x  10)
x^{4}  15x^{3} + 54x^{2}
x^{2}(x  6)(x  9)
17. For question 16, exercises b) and c), solve for x:
x =
4
and
10
x =
0
,
6
and
9
18. You have 2 pants, 2 shirts, and 3 shoes. How many different ways can you dress?
12
19. Use the following data to construct a box and whiskers plot:
8, 9, 22, 18, 6, 2, 4, 5, 30, 15
20. A bag contains 7 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?
21.43%
A blue ball or red ball?
78.57%
Two red balls?
8.16%
A blue ball and a white ball?
10.71%
21. Solve and graph the following systems of linear equations:
x + y = 8 x  y = 10
A(9,1)
3x  2y = 11 4x + y = 11
B(1,7)
22. Write the following fractions in simplest form:
38xy^{2}
19xy^{4}
2
y^{2}
(x + 7)^{2}
(x + 7)^{7}
1
(x + 7)^{5}
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} = 17x + 66
x_{1} = 11, x_{2} = 6
24. Convert the following repeating decimal into a fraction:
x =
0.2114
2112
9990
25. Solve the following equation:
18
x
+ 3 = 19
x
 13
x = 256
26. Rationalize the denominator of each fraction below:
10
5
+ 2
10
5
+ 20
27. Use a trigonometric ratio to find x:
x = 33.49 cm
28. The sum of two consecutive even integers is 42. What are the integers? (Hint: use 2x as the first even integer)
a=20, b=22
29. After you leave your house, you walk 9 blocks west and 12 blocks south. How far are you from your house?
I am
15
blocks from my house.
30. A rectangle has a width that is 2 ft less than its length. The area of the rectangle is 63ft^{2}. What are the dimensions of the rectangle?
15. Find the greatest common factor of the following terms:
78, 24, 60
6
63x^{8}y^{2}, 78x^{3}y^{10}
3x^{3}y^{2}
16. Factor the following polynomials:
20x^{5} + 0x^{4}  20x^{3}
20x^{3}(x  1)(x + 1)
x^{2} + 3x  70
(x  7)(x + 10)
x^{5}  4x^{4}  96x^{3}
x^{3}(x  12)(x + 8)
17. For question 16, exercises b) and c), solve for x:
x =
7
and
10
x =
0
,
12
and
8
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:
2, 38, 25, 14, 36, 28, 33, 15, 35
20. A bag contains 5 blue balls, 2 red balls, and 3 white balls. You pick a ball from the bag and put it in your pocket. What is the probability of picking:
A white ball?
30.00%
A blue ball or red ball?
70.00%
Two red balls?
2.22%
A blue ball and a white ball?
16.67%
21. Solve and graph the following systems of linear equations:
x + y = 14 x  y = 9
A(2.5,11.5)
5x  12y = 12 4x + 14y = 14
B(0,1)
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)^{2}
(x + 10)^{5}
1
(x + 10)^{3}
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}  35 = 2x
x_{1} = 5, x_{2} = 7
24. Convert the following repeating decimal into a fraction:
x =
0.64
64
99
25. Solve the following equation:

15
x
= 7
x =
225
49
26. Rationalize the denominator of each fraction below:
4
35 
5
35 +
5
305
27. Use a trigonometric ratio to find x:
x = 22.00 cm
28. The sum of two consecutive even integers is 22. What are the integers? (Hint: use 2x as the first even integer)
a=10, b=12
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. Each side of a square is decreased by 10 m. The area of the newly created square is 9m^{2}. What was the original length of one side of the square?
Enjoy this page? Please pay it forward. Here's how...
Would you prefer to share this page with others by linking to it?
Click on the HTML link code below.
Copy and paste it, adding a note of your own, into your blog, a Web page, forums, a blog comment, your Facebook account, or anywhere that someone would find this page valuable.