13. Multiply the following polynomials and simplify:

-6(4x^{4} + 7x^{3} + 3x)

-24x^{4} - 42x^{3} - 18x

(2x^{3} + 5x - 9)(2x^{2} + 9x)

4x^{5} + 18x^{4} + 10x^{3} + 27x^{2} - 81x

14. Divide:

25x^{3} + 20x^{2} - 10x - 8 / 5x + 4

5x^{2} - 2

15. Find the greatest common factor of the following terms:

39, 99, 66

3

55x^{9}y^{3}, 100x^{9}y^{7}

5x^{9}y^{3}

16. Factor the following polynomials:

21x^{4} + 70x^{3} - 91x^{2}

21x^{2}(x +

13

3

)(x - 1)

x^{2} + 16x + 63

(x + 9)(x + 7)

x^{7} + 21x^{6} + 90x^{5}

x^{5}(x + 6)(x + 15)

17. For question 16, exercises b) and c), solve for x:

x =

-9

and

-7

x =

0

,

-6

and

-15

18. You have 4 pants, 5 shirts, and 4 shoes. How many different ways can you dress?

80

19. Use the following data to construct a box and whiskers plot:

17, 16, 3, 1, 24, 5, 9, 12

20. A bag contains 3 blue balls, 5 red balls, and 2 white balls. You pick a ball from the bag and put it in your pocket. What is the probability of picking:

A white ball?

20.00%

A blue ball or red ball?

80.00%

Two red balls?

22.22%

A blue ball and a white ball?

6.67%

21. Solve and graph the following systems of linear equations:

x + y = 16 x - y = 20

A(18,-2)

8x - 4y = -16 14x + 8y = 2

B(-1,2)

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)^{4}

(x - 2)^{2}

(x - 2)^{2}

23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.

99 = x^{2} - 30x

x_{1} = 33, x_{2} = -3

24. Convert the following repeating decimal into a fraction:

x =
0.258

258

999

25. Solve the following equation:

3x - 2

+ 13 = 20

x = 17

26. Rationalize the denominator of each fraction below:

9

25

9

5

27. Use a trigonometric ratio to find x:

x = 34.00 cm

28. The sum of two consecutive even integers is 54. What are the integers? (Hint: use 2x as the first even integer)

a=26, b=28

29. After you leave your house, you walk 6 blocks north and 8 blocks west. How far are you from your house?

I am

10

blocks from my house.

30. A rectangle has a length 9 m greater than its width. The area of the rectangle is 400m^{2}. What are the length and width of the rectangle?