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

90, 27, 80

1

36x^{6}, 14x^{2}y, 27x^{7}y^{10}

x^{2}

16. Factor the following polynomials:

49x^{5} + 77x^{4} + 29x^{3}

49x^{3}(x -

-11 +

5

14

)(x -

-11 -

5

14

)

x^{2} + 6x + 8

(x + 2)(x + 4)

x^{4} + 8x^{3} - 65x^{2}

x^{2}(x + 13)(x - 5)

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

x =

-2

and

-4

x =

0

,

-13

and

5

18. You are seating 8 people on 8 chairs. How many different ways can those people sit?

40320

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

21, 23, 6, 10, 2, 31, 34

20. Suppose you toss a coin and spin a spinner numbered 1 through 12

What is the probability of getting tails and 2?

4.17%

What is the probability of getting heads and an odd number?

25%

What is the probability of getting heads and a multiple of 2?

25%

What is the probability of getting heads and a prime number?

20.83%

What is the probability of not heads and not 2?

45.83%

What is the probability of getting not tails and not a whole number?

0%

What is the probability of heads or tails and a whole number?

100%

What is the probability of getting tails?

50%

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

x + y = 4 x - y = 15

A(9.5,-5.5)

4x - y = 13 x + 9y = 3

B(3.24,-0.03)

22. Write the following fractions in simplest form:

3x^{2}y^{9}

6x^{10}y^{2}

y^{7}

2x^{8}

(x^{2} + 8x + 16)

(x + 4)

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} = 4x - 12

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

24. Convert the following repeating decimal into a fraction:

x =
0.321

289

900

25. Solve the following equation:

3x + 1

+ 9 = 10

x = 0

26. Rationalize the denominator of each fraction below:

10

35 -

15

35 +

15

121

27. Use a trigonometric ratio to find x:

x = 17.00 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 6 blocks east and 8 blocks south. How far are you from your house?

I am

10

blocks from my house.

30. Each side of a square is decreased by 7 m. The area of the newly created square is 256m^{2}. What was the original length of one side of the square?