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

66, 75

3

90x^{10}y^{3}, 39x^{4}y^{9}, 42x^{6}y^{6}

3x^{4}y^{3}

16. Factor the following polynomials:

8x^{3} + 34x^{2} + 36x

8x(x +

9

4

)(x + 2)

x^{2} - 5x - 36

(x - 9)(x + 4)

x^{5} - 18x^{4} + 77x^{3}

x^{3}(x - 11)(x - 7)

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

x =

9

and

-4

x =

0

,

11

and

7

18. How many ways can 3 people wait in line?

6

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

24, 6, 18, 17, 26, 15, 25, 23, 2

20. A bag contains 4 blue balls, 3 red balls, and 7 white balls. You pick a ball from the bag and put it in your pocket. What is the probability of picking:

A white ball?

50.00%

A blue ball or red ball?

50.00%

Two red balls?

3.30%

A blue ball and a white ball?

15.38%

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

x + y = -13 x - y = -18

A(-15.5,2.5)

2x - 5y = 14 9x + 5y = -15

B(-0.09,-2.84)

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 - 6)^{6}

(x - 6)^{5}

x - 6

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} = 17x + 52

x_{1} = -4, x_{2} = -13

24. Convert the following repeating decimal into a fraction:

x =
0.6657

6591

9900

25. Solve the following equation:

-19 +

2x - 4

= 9

x = 394

26. Rationalize the denominator of each fraction below:

10

10

10

12

30

6

27. Use a trigonometric ratio to find x:

x = 29.44 cm

28. The sum of two consecutive odd integers is 32. What are the integers? (Hint: use 2x+1 as the first odd integer)

a=15, b=17

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

I am

17

blocks from my house.

30. Each side of a square is lengthened by 4 ft. This makes the area of the square 196ft^{2}. What is the original length of a side of the square?