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

30, 45, 66

3

90x^{8}y, 52x^{9}y^{6}, 72x^{8}y^{3}

2x^{8}y

16. Factor the following polynomials:

30x^{5} - 12x^{4} - 18x^{3}

30x^{3}(x +

3

5

)(x - 1)

x^{2} - 9x + 14

(x - 7)(x - 2)

x^{4} + 2x^{3} - 195x^{2}

x^{2}(x - 13)(x + 15)

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

x =

7

and

2

x =

0

,

13

and

-15

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

50

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

25, 6, 24, 22, 1, 29, 37

20. A bag contains 4 blue balls, 5 red balls, and 3 white balls. You pick a ball from the bag and return it to the bag. What is the probability of picking:

A white ball?

25.00%

A blue ball or red ball?

75.00%

Two red balls?

17.36%

A blue ball and a white ball?

8.33%

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

x + y = 7 x - y = -2

A(2.5,4.5)

8x - 2y = 18 11x + 4y = 18

B(2,-1)

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 + 8)

(x^{2} + 16x + 64)

1

x + 8

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

x^{2} - 34x = -33

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

24. Convert the following repeating decimal into a fraction:

x =
0.309

309

999

25. Solve the following equation:

-20 +

x + 1

= -2

x = 323

26. Rationalize the denominator of each fraction below:

4

6 -

10

12 + 2

10

13

27. Use a trigonometric ratio to find x:

x = 24.25 cm

28. The sum of two consecutive odd integers is 24. What are the integers? (Hint: use 2x+1 as the first odd integer)

a=11, b=13

29. After you leave your house, you walk 15 blocks west and 8 blocks north. How far are you from your house?

I am

17

blocks from my house.

30. A rectangle has a length 9 ft greater than its width. The area of the rectangle is 190ft^{2}. What are the length and width of the rectangle?