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

14, 98, 25

1

30x^{3}y^{8}, 65x^{2}y^{9}, 52x^{9}y

x^{2}y

16. Factor the following polynomials:

22x^{3} + 99x^{2} - 55x

22x(x -

1

2

)(x + 5)

x^{2} - 11x + 24

(x - 8)(x - 3)

x^{7} + 3x^{6} - 154x^{5}

x^{5}(x - 11)(x + 14)

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

x =

8

and

3

x =

0

,

11

and

-14

18. You can purchase your ice cream in a cup or a cone. Orders can be one or two scoops. Flavors can be chocolate or vanilla. How many choices do you have?

8

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

7, 12, 34, 17, 11, 9, 14, 3

20. Suppose you toss a coin and spin a spinner numbered 1 through 6

What is the probability of getting heads and 2?

8.33%

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

25%

What is the probability of getting heads and a multiple of 3?

16.67%

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

25%

What is the probability of not heads and not 2?

41.67%

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 = -3 x - y = -1

A(-2,-1)

3x - 2y = -12 4x + y = 3

B(-0.55,5.18)

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 + 1)^{4}

(x + 1)

(x + 1)^{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} - 50 = -5x

x_{1} = 5, x_{2} = -10

24. Convert the following repeating decimal into a fraction:

x =
0.520

515

990

25. Solve the following equation:

-12

x

- 11 = -13

x

+ 19

x = 900

26. Rationalize the denominator of each fraction below:

14

21

2

21

3

27. Use a trigonometric ratio to find x:

x = 24.00 cm

28. The sum of two consecutive even integers is 26. What are the integers? (Hint: use 2x as the first even integer)

a=12, b=14

29. After you leave your house, you walk 12 blocks south and 16 blocks east. How far are you from your house?

I am

20

blocks from my house.

30. A rectangle has a length 10 ft greater than its width. The area of the rectangle is 171ft^{2}. What are the length and width of the rectangle?