13. Multiply the following polynomials and simplify:
(8x5 + 3)(10x4 + 9x3 + 7x)
80x9 + 72x8 + 56x6 + 30x4 + 27x3 + 21x
(5x3 + 8x)(10x - 6)
50x4 - 30x3 + 80x2 - 48x
14. Divide:
10x2 - 34x + 12 / 5x - 2
2x - 6
15. Find the greatest common factor of the following terms:
90, 66
6
50x4y7, 75x5
25x4
16. Factor the following polynomials:
x5 + 9x4 - 10x3
x3(x + 10)(x - 1)
x2 + 0x - 36
(x + 6)(x - 6)
x8 + 17x7 + 60x6
x6(x + 12)(x + 5)
17. For question 16, exercises b) and c), solve for x:
x =
-6
and
6
x =
0
,
-12
and
-5
18. You have 4 CDs. How many different ways can you listen to them?
24
19. Use the following data to construct a box and whiskers plot:
35, 1, 16, 13, 2, 18, 26, 38, 40, 23
20. A bag contains 5 blue balls, 4 red balls, and 5 white balls. You pick a ball from the bag and return it to the bag. What is the probability of picking:
A white ball?
35.71%
A blue ball or red ball?
64.29%
Two red balls?
8.16%
A blue ball and a white ball?
12.76%
21. Solve and graph the following systems of linear equations:
x + y = -9 x - y = 20
A(5.5,-14.5)
8x - y = 13 6x + 2y = -12
B(0.64,-7.91)
22. Write the following fractions in simplest form:
20x7y6
60x2y3
x5y3
3
x4(x + 8)
x5 + 16x4 + 64x3
x
(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.
x2 + 15x = -54
x1 = -9, x2 = -6
24. Convert the following repeating decimal into a fraction:
x =
9.71
962
99
25. Solve the following equation:
-17
x
+ 10 = -18
x
+ 11
x = 1
26. Rationalize the denominator of each fraction below:
2
7
14
6
42
42
27. Use a trigonometric ratio to find x:
x = 24.04 cm
28. The sum of two consecutive odd integers is 16. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=7, b=9
29. After you leave your house, you walk 6 blocks east and 8 blocks south. How far are you from your house?
I am
10
blocks from my house.
30. The length of a rectangle is 4 less than 4 times the width. What are the dimensions of the rectangle if the area is 80m2?
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.