15. Find the greatest common factor of the following terms:
45, 49
1
36x^{2}y^{8}, 60xy^{9}, 26x^{2}y^{3}
2xy^{3}
16. Factor the following polynomials:
21x^{4}  48x^{3} + 12x^{2}
21x^{2}(x  2)(x 
2
7
)
x^{2} + 17x + 70
(x + 7)(x + 10)
x^{7} + 10x^{6} + 21x^{5}
x^{5}(x + 7)(x + 3)
17. For question 16, exercises b) and c), solve for x:
x =
7
and
10
x =
0
,
7
and
3
18. You are seating 7 people on 7 chairs. How many different ways can those people sit?
5040
19. Use the following data to construct a box and whiskers plot:
39, 27, 40, 7, 17, 21, 36, 6, 11
20. A bag contains 5 blue balls, 4 red balls, and 6 white balls. You pick a ball from the bag and return it to the bag. What is the probability of picking:
A white ball?
40.00%
A blue ball or red ball?
60.00%
Two red balls?
7.11%
A blue ball and a white ball?
13.33%
21. Solve and graph the following systems of linear equations:
x + y = 11 x  y = 3
A(4,7)
5x  9y = 10 2x + 6y = 4
B(2,0)
22. Write the following fractions in simplest form:
15x^{6}y
30x^{10}y^{7}
1
2x^{4}y^{6}
x^{8}  1x^{7}  6x^{6}
x^{2}(x  3)
x^{4}(x + 2)
23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
12x + 36 = x^{2}
x_{1} = 6, x_{2} = 6
24. Convert the following repeating decimal into a fraction:
x =
0.15
14
90
25. Solve the following equation:
11
x
+ 19 = 5
x
 13
x = 4
26. Rationalize the denominator of each fraction below:
6
10
10 +
7
20
10
 2
70
31
27. Use a trigonometric ratio to find x:
x = 15.56 cm
28. The sum of two consecutive odd integers is 56. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=27, b=29
29. After you leave your house, you walk 12 blocks north and 16 blocks east. How far are you from your house?
I am
20
blocks from my house.
30. The length of a rectangle is 3 less than 3 times the width. What are the dimensions of the rectangle if the area is 270m^{2}?
15. Find the greatest common factor of the following terms:
42, 52
2
54x^{4}y^{7}, 18x^{10}y^{8}, 15x^{3}y^{8}
3x^{3}y^{7}
16. Factor the following polynomials:
30x^{3} + 35x^{2} + 5x
30x(x + 1)(x +
1
6
)
x^{2} + 6x + 9
(x + 3)(x + 3)
x^{7} + 9x^{6}  90x^{5}
x^{5}(x + 15)(x  6)
17. For question 16, exercises b) and c), solve for x:
x =
3
and
3
x =
0
,
15
and
6
18. You have 4 pants, 2 shirts, and 3 shoes. How many different ways can you dress?
24
19. Use the following data to construct a box and whiskers plot:
4, 39, 12, 21, 40, 30, 8, 34, 2
20. A bag contains 3 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?
25.00%
A blue ball or red ball?
75.00%
Two red balls?
25.00%
A blue ball and a white ball?
6.25%
21. Solve and graph the following systems of linear equations:
x + y = 14 x  y = 17
A(15.5,1.5)
7x  11y = 18 11x + 2y = 9
B(1,1)
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^{2} + 16x + 64)
(x + 8)
x + 8
23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
98 = x^{2} + 7x
x_{1} = 14, x_{2} = 7
24. Convert the following repeating decimal into a fraction:
x =
8.469
7623
900
25. Solve the following equation:
6
x
+ 11 = 1
x
 3
x = 4
26. Rationalize the denominator of each fraction below:
2
5
 7

5
+ 7
22
27. Use a trigonometric ratio to find x:
x = 33.77 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. The sides of a square are increased by 3 ft. The area of the newly created square is 256ft^{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.