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

36, 54

18

30y^{9}, 39x^{2}y^{6}

3y^{6}

16. Factor the following polynomials:

12x^{4} - 35x^{3} - 68x^{2}

12x^{2}(x +

4

3

)(x -

17

4

)

x^{2} - x - 20

(x + 4)(x - 5)

x^{5} + 22x^{4} + 117x^{3}

x^{3}(x + 13)(x + 9)

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

x =

-4

and

5

x =

0

,

-13

and

-9

18. You have 5 CDs. How many different ways can you listen to them?

120

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

33, 1, 36, 32, 30, 38, 5, 22

20. A bag contains 2 blue balls, 3 red balls, and 3 white balls. You pick a ball from the bag and return it to the bag. What is the probability of picking:

A white ball?

37.50%

A blue ball or red ball?

62.50%

Two red balls?

14.06%

A blue ball and a white ball?

9.38%

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

x + y = 1 x - y = -9

A(-4,5)

5x - 6y = -10 5x + 2y = -14

B(-2.6,-0.5)

22. Write the following fractions in simplest form:

18x^{10}y^{6}

36x^{8}y^{4}

x^{2}y^{2}

2

x^{8} + 6x^{7} - 7x^{6}

x^{5}(x - 1)

x(x + 7)

23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.

14x = x^{2} + 45

x_{1} = 9, x_{2} = 5

24. Convert the following repeating decimal into a fraction:

x =
0.49

45

90

25. Solve the following equation:

6 +

x - 10

= 20

x = 206

26. Rationalize the denominator of each fraction below:

3

3

3

27. Use a trigonometric ratio to find x:

x = 21.94 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 12 blocks west and 16 blocks south. How far are you from your house?

I am

20

blocks from my house.

30. The length of a rectangle is 5 less than 5 times the width. What are the dimensions of the rectangle if the area is 210ft^{2}?

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