13. Multiply the following polynomials and simplify:

(1x^{5} + 10x)10x^{5}

10x^{10} + 100x^{6}

(2x^{2} + 7x - 10)(9x^{5} + 10x^{4})

18x^{7} + 83x^{6} - 20x^{5} - 100x^{4}

14. Divide:

8x^{2} + 50x + 63 / 2x + 9

4x + 7

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

36, 55

1

88x^{8}y^{7}, 99x^{2}y^{6}, 66x^{3}y^{6}

11x^{2}y^{6}

16. Factor the following polynomials:

30x^{3} - 75x^{2} + 15x

30x(x -

5 +

17

4

)(x -

5 -

17

4

)

x^{2} - 6x - 27

(x - 9)(x + 3)

x^{5} + 11x^{4} + 24x^{3}

x^{3}(x + 3)(x + 8)

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

x =

9

and

-3

x =

0

,

-3

and

-8

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:

8, 34, 11, 7, 25, 10, 12

20. A bag contains 4 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?

42.86%

A blue ball or red ball?

57.14%

Two red balls?

8.16%

A blue ball and a white ball?

12.24%

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

x + y = -8 x - y = -10

A(-9,1)

7x - 2y = 9 3x + 8y = 2

B(1.23,-0.21)

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 + 7)^{7}

(x + 7)^{4}

(x + 7)^{3}

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

-24 = x^{2} - 10x

x_{1} = 4, x_{2} = 6

24. Convert the following repeating decimal into a fraction:

x =
0.85

85

99

25. Solve the following equation:

-3

x

+ 2 = -5

x

+ 16

x = 49

26. Rationalize the denominator of each fraction below:

9

30

3

30

10

27. Use a trigonometric ratio to find x:

x = 32.91 cm

28. The sum of two consecutive even integers is 42. What are the integers? (Hint: use 2x as the first even integer)

a=20, b=22

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

I am

10

blocks from my house.

30. Each side of a square is decreased by 4 ft. The area of the newly created square is 361ft^{2}. What was the original length of one side of the square?