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

39, 12

3

9, 40x^{5}y^{6}, 14x^{10}y^{6}

1

16. Factor the following polynomials:

38x^{4} - 76x^{3} + 38x^{2}

38x^{2}(x - 1)(x - 1)

x^{2} + 10x + 24

(x + 4)(x + 6)

x^{8} - 5x^{7} - 36x^{6}

x^{6}(x - 9)(x + 4)

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

x =

-4

and

-6

x =

0

,

9

and

-4

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:

40, 27, 11, 34, 21, 39, 26

20. A bag contains 2 blue balls, 6 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?

18.37%

A blue ball and a white ball?

6.12%

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

x + y = -6 x - y = -15

A(-10.5,4.5)

4x - 11y = -19 9x + 2y = -16

B(-2,1)

22. Write the following fractions in simplest form:

14x^{2}y^{5}

42x^{3}y^{8}

1

3xy^{3}

x^{3}(x + 6)

x^{4} + 10x^{3} + 24x^{2}

x

(x + 4)

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} + 2x = 24

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

24. Convert the following repeating decimal into a fraction:

x =
0.815

734

900

25. Solve the following equation:

-8

x

+ 8 = -5

x

- 1

x = 9

26. Rationalize the denominator of each fraction below:

3

21

+ 1

3

21

- 3

20

27. Use a trigonometric ratio to find x:

x = 27.00 cm

28. The sum of two consecutive even integers is 58. What are the integers? (Hint: use 2x as the first even integer)

a=28, b=30

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

I am

5

blocks from my house.

30. A rectangle has a length 9 m greater than its width. The area of the rectangle is 220m^{2}. What are the length and width of the rectangle?