13. Multiply the following polynomials and simplify:

9(5x^{5} + x)

45x^{5} + 9x

(5x^{5} + x^{2})(4x^{5} + 9x^{4})

20x^{10} + 45x^{9} + 4x^{7} + 9x^{6}

14. Divide:

2x^{2} + 6x - 20 / x + 5

2x - 4

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

39, 60

3

60x^{3}y^{10}, 88x^{3}

4x^{3}

16. Factor the following polynomials:

8x^{4} - 100x^{3} - 52x^{2}

8x^{2}(x +

1

2

)(x - 13)

x^{2} + 4x - 12

(x - 2)(x + 6)

x^{6} + 2x^{5} - 15x^{4}

x^{4}(x + 5)(x - 3)

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

x =

2

and

-6

x =

0

,

-5

and

3

18. You have 5 pants, 2 shirts, and 3 shoes. How many different ways can you dress?

30

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

30, 31, 18, 12, 4, 20, 27, 34

20. A bag contains 7 blue balls, 5 red balls, and 7 white balls. You pick a ball from the bag and return it to the bag. What is the probability of picking:

A white ball?

36.84%

A blue ball or red ball?

63.16%

Two red balls?

6.93%

A blue ball and a white ball?

13.57%

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

x + y = -4 x - y = -17

A(-10.5,6.5)

x - 6y = -13 4x + 2y = -7

B(-2.62,1.73)

22. Write the following fractions in simplest form:

12x^{3}y^{7}

3x^{5}y^{10}

4

x^{2}y^{3}

(x + 3)

(x + 3)^{4}

1

(x + 3)^{3}

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

-56 = x^{2} - 18x

x_{1} = 4, x_{2} = 14

24. Convert the following repeating decimal into a fraction:

x =
5.187

5136

990

25. Solve the following equation:

-7

x

- 6 = -9

x

- 4

x = 1

26. Rationalize the denominator of each fraction below:

5

10

10

30

3

6

27. Use a trigonometric ratio to find x:

x = 22.00 cm

28. The sum of two consecutive even integers is 38. What are the integers? (Hint: use 2x as the first even integer)

a=18, b=20

29. After you leave your house, you walk 3 blocks east and 4 blocks south. How far are you from your house?

I am

5

blocks from my house.

30. Each side of a square is lengthened by 4 m. This makes the area of the square 169m^{2}. What is the original length of a side of the square?