13. Multiply the following polynomials and simplify:
(9x5 + 7x3 + 3x2)(10x4 + 4x)
90x9 + 70x7 + 66x6 + 28x4 + 12x3
(3x5 + 6x + 8)(5x3 + 1)
15x8 + 3x5 + 30x4 + 40x3 + 6x + 8
14. Divide:
10x2 - 46x - 20 / 5x + 2
2x - 10
15. Find the greatest common factor of the following terms:
90, 60, 14
2
54x5y5, 12x8y7, 80x7y7
2x5y5
16. Factor the following polynomials:
32x5 - 88x4 + 36x3
32x3(x -
9
4
)(x -
1
2
)
x2 - 6x + 9
(x - 3)(x - 3)
x6 + 9x5 + 20x4
x4(x + 5)(x + 4)
17. For question 16, exercises b) and c), solve for x:
x =
3
and
3
x =
0
,
-5
and
-4
18. You are seating 5 people on 5 chairs. How many different ways can those people sit?
120
19. Use the following data to construct a box and whiskers plot:
19, 36, 35, 39, 9, 5, 32, 40, 38, 24
20. A bag contains 3 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?
20.00%
A blue ball or red ball?
80.00%
Two red balls?
25.00%
A blue ball and a white ball?
6.00%
21. Solve and graph the following systems of linear equations:
x + y = -8 x - y = 1
A(-3.5,-4.5)
10x - 4y = 2 4x + 8y = -19
B(-0.63,-2.06)
22. Write the following fractions in simplest form:
7x7y3
28x2y6
x5
4y3
(x + 9)
(x2 + 18x + 81)
1
x + 9
23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
6x = x2 - 40
x1 = -4, x2 = 10
24. Convert the following repeating decimal into a fraction:
x =
0.4436
4392
9900
25. Solve the following equation:
-9 -
x - 6
= -11
x = 10
26. Rationalize the denominator of each fraction below:
2
3
- 15
-
3
+ 15
111
27. Use a trigonometric ratio to find x:
x = 12.12 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 9 blocks south and 12 blocks west. How far are you from your house?
I am
15
blocks from my house.
30. The length of a rectangle is 4 less than 2 times the width. What are the dimensions of the rectangle if the area is 160ft2?
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