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

45, 26, 70

1

70x^{6}y^{9}, 72x^{2}y^{10}

2x^{2}y^{9}

16. Factor the following polynomials:

12x^{3} - 1x^{2} - 6x

12x(x -

3

4

)(x +

2

3

)

x^{2} + 11x + 28

(x + 7)(x + 4)

x^{4} - 2x^{3} - 24x^{2}

x^{2}(x - 6)(x + 4)

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

x =

-7

and

-4

x =

0

,

6

and

-4

18. You have 3 books to read. How many different ways can you read your books?

6

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

24, 5, 6, 18, 23, 13, 40

20. A bag contains 7 blue balls, 7 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?

33.33%

A blue ball or red ball?

66.67%

Two red balls?

10.00%

A blue ball and a white ball?

11.67%

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

x + y = 16 x - y = 17

A(16.5,-0.5)

7x - y = 18 6x + 10y = -6

B(2.29,-1.97)

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 + 3)

(x^{2} + 6x + 9)

1

x + 3

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} - 55 = 6x

x_{1} = 11, x_{2} = -5

24. Convert the following repeating decimal into a fraction:

x =
0.2466

2464

9990

25. Solve the following equation:

-1

x

+ 1 = 3

x

- 15

x = 16

26. Rationalize the denominator of each fraction below:

10

12

15

9

4

3

9

27. Use a trigonometric ratio to find x:

x = 28.00 cm

28. The sum of two consecutive even integers is 50. What are the integers? (Hint: use 2x as the first even integer)

a=24, b=26

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

I am

5

blocks from my house.

30. A rectangle has an area of 400ft^{2}. Its width is 9 ft less than its length. What are the dimensions of the rectangle?