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

63, 36, 42

3

36x^{8}y^{9}, 45x^{7}y^{8}, 78x^{10}y^{4}

3x^{7}y^{4}

16. Factor the following polynomials:

54x^{3} + 42x^{2} + 5x

54x(x -

-7 +

19

18

)(x -

-7 -

19

18

)

x^{2} + 11x + 30

(x + 6)(x + 5)

x^{9} - 22x^{8} + 105x^{7}

x^{7}(x - 7)(x - 15)

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

x =

-6

and

-5

x =

0

,

7

and

15

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

40

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

19, 17, 8, 35, 9, 25, 10, 12, 38

20. A bag contains 5 blue balls, 6 red balls, and 5 white balls. You pick a ball from the bag and put it in your pocket. What is the probability of picking:

A white ball?

31.25%

A blue ball or red ball?

68.75%

Two red balls?

12.50%

A blue ball and a white ball?

10.42%

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

x + y = 1 x - y = 14

A(7.5,-6.5)

10x - 2y = 18 2x + 6y = 8

B(1.94,0.69)

22. Write the following fractions in simplest form:

22x^{5}y^{8}

11x^{9}y^{2}

2y^{6}

x^{4}

x^{5}(x + 8)

x^{4} + 18x^{3} + 80x^{2}

x^{3}

(x + 10)

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} + 35x = -66

x_{1} = -33, x_{2} = -2

24. Convert the following repeating decimal into a fraction:

x =
0.3

3

9

25. Solve the following equation:

19

x

+ 5 = 18

x

+ 15

x = 100

26. Rationalize the denominator of each fraction below:

5

3

5

3

3

27. Use a trigonometric ratio to find x:

x = 32.33 cm

28. The sum of two consecutive odd integers is 32. What are the integers? (Hint: use 2x+1 as the first odd integer)

a=15, b=17

29. After you leave your house, you walk 8 blocks south and 15 blocks west. How far are you from your house?

I am

17

blocks from my house.

30. A rectangle has a width that is 2 ft less than its length. The area of the rectangle is 99ft^{2}. What are the dimensions of the rectangle?

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