13. Multiply the following polynomials and simplify:
(5x4 + 7x2)-8
-40x4 - 56x2
(5x5 + 5x2)(1x + 8)
5x6 + 40x5 + 5x3 + 40x2
14. Divide:
3x3 + 15x2 + x + 5 / x + 5
3x2 + 1
15. Find the greatest common factor of the following terms:
10, 44
2
9x7y5, 60x8y2, 11xy3
xy2
16. Factor the following polynomials:
20x5 - 29x4 + 9x3
20x3(x -
9
20
)(x - 1)
x2 - 19x + 90
(x - 10)(x - 9)
x7 - 2x6 + x5
x5(x - 1)(x - 1)
17. For question 16, exercises b) and c), solve for x:
x =
10
and
9
x =
0
,
1
and
1
18. You are seating 6 people on 6 chairs. How many different ways can those people sit?
720
19. Use the following data to construct a box and whiskers plot:
6, 28, 15, 29, 20, 40, 7, 23
20. A bag contains 5 blue balls, 5 red balls, and 2 white balls. You pick a ball from the bag and return it to the bag. What is the probability of picking:
A white ball?
16.67%
A blue ball or red ball?
83.33%
Two red balls?
17.36%
A blue ball and a white ball?
6.94%
21. Solve and graph the following systems of linear equations:
x + y = -14 x - y = 1
A(-6.5,-7.5)
5x - 2y = 5 6x + 3y = 4
B(0.85,-0.37)
22. Write the following fractions in simplest form:
52x3y9
13x3y5
4y4
(x - 8)5
(x - 8)2
(x - 8)3
23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
44 = x2 + 20x
x1 = -22, x2 = 2
24. Convert the following repeating decimal into a fraction:
x =
0.3
3
9
25. Solve the following equation:
-5
x
+ 8 = 1
x
+ 2
x = 1
26. Rationalize the denominator of each fraction below:
6
5
- 15
-
3
5
+ 45
110
27. Use a trigonometric ratio to find x:
x = 16.74 cm
28. The sum of two consecutive odd integers is 20. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=9, b=11
29. After you leave your house, you walk 12 blocks south and 5 blocks east. How far are you from your house?
I am
13
blocks from my house.
30. A rectangle has a length 9 ft greater than its width. The area of the rectangle is 52ft2. What are the length and width of the rectangle?