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

50, 60, 45

5

44x^{10}y, 84x^{9}y^{10}

4x^{9}y

16. Factor the following polynomials:

16x^{4} + 68x^{3} + 69x^{2}

16x^{2}(x -

-17 +

13

8

)(x -

-17 -

13

8

)

x^{2} + 10x + 9

(x + 1)(x + 9)

x^{4} + 9x^{3} + 20x^{2}

x^{2}(x + 4)(x + 5)

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

x =

-1

and

-9

x =

0

,

-4

and

-5

18. You have 7 books to read. How many different ways can you read your books?

5040

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

28, 21, 29, 40, 30, 16, 11, 32

20. A bag contains 4 blue balls, 7 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?

15.38%

A blue ball or red ball?

84.62%

Two red balls?

26.92%

A blue ball and a white ball?

5.13%

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

x + y = 11 x - y = 16

A(13.5,-2.5)

x - 3y = 2 9x + 5y = 6

B(0.88,-0.38)

22. Write the following fractions in simplest form:

16x^{9}y^{3}

32x^{10}y^{4}

1

2xy

x^{7} + 2x^{6} - 3x^{5}

x(x - 1)

x^{4}(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.

7x = x^{2} + 6

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

24. Convert the following repeating decimal into a fraction:

x =
0.13

12

90

25. Solve the following equation:

-13

x

+ 2 = -20

x

+ 9

x = 1

26. Rationalize the denominator of each fraction below:

5

15 +

21

75 - 5

21

204

27. Use a trigonometric ratio to find x:

x = 15.56 cm

28. The sum of two consecutive even integers is 14. What are the integers? (Hint: use 2x as the first even integer)

a=6, b=8

29. After you leave your house, you walk 9 blocks west and 12 blocks south. How far are you from your house?

I am

15

blocks from my house.

30. Each side of a square is decreased by 7 ft. The area of the newly created square is 9ft^{2}. What was the original length of one side of the square?

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