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

72, 42

6

15x^{3}y^{4}, 80x^{7}y^{3}, 75xy^{3}

5xy^{3}

16. Factor the following polynomials:

15x^{3} - 31x^{2} + 2x

15x(x -

1

15

)(x - 2)

x^{2} - 2x - 3

(x + 1)(x - 3)

x^{7} - 2x^{6} - 168x^{5}

x^{5}(x - 14)(x + 12)

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

x =

-1

and

3

x =

0

,

14

and

-12

18. You have 4 pants, 4 shirts, and 5 shoes. How many different ways can you dress?

80

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

26, 9, 10, 25, 13, 32, 31

20. A bag contains 3 blue balls, 6 red balls, and 2 white balls. You pick a ball from the bag and put it in your pocket. What is the probability of picking:

A white ball?

18.18%

A blue ball or red ball?

81.82%

Two red balls?

27.27%

A blue ball and a white ball?

5.45%

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

x + y = 13 x - y = -1

A(6,7)

9x - 9y = -6 2x + 9y = -9

B(-1.36,-0.7)

22. Write the following fractions in simplest form:

12x^{7}y^{8}

6x^{2}y^{3}

2x^{5}y^{5}

(x - 2)^{6}

(x - 2)^{2}

(x - 2)^{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 = x^{2} - 2

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

24. Convert the following repeating decimal into a fraction:

x =
0.21

21

99

25. Solve the following equation:

-14 +

3x + 10

= -1

x = 53

26. Rationalize the denominator of each fraction below:

21

3

+ 1

21

3

- 21

2

27. Use a trigonometric ratio to find x:

x = 29.00 cm

28. The sum of two consecutive odd integers is 36. What are the integers? (Hint: use 2x+1 as the first odd integer)

a=17, b=19

29. After you leave your house, you walk 12 blocks north and 5 blocks west. How far are you from your house?

I am

13

blocks from my house.

30. A rectangle has a length 4 m greater than its width. The area of the rectangle is 192m^{2}. What are the length and width of the rectangle?