13. Multiply the following polynomials and simplify:

(7x^{4} + x^{3} + 3x)(9x^{4} + x^{2})

63x^{8} + 9x^{7} + 7x^{6} + 28x^{5} + 3x^{3}

(8x^{5} + 9x^{2} + 2x)(2x^{5} + 3x^{2})

16x^{10} + 42x^{7} + 4x^{6} + 27x^{4} + 6x^{3}

14. Divide:

x^{2} - 36 / x + 6

x - 6

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

54, 72, 9

9

55x^{4}y^{9}, 30x^{8}y

5x^{4}y

16. Factor the following polynomials:

6x^{5} + 4x^{4} - 2x^{3}

6x^{3}(x + 1)(x -

1

3

)

x^{2} - 7x - 18

(x + 2)(x - 9)

x^{4} + 9x^{3} - 52x^{2}

x^{2}(x - 4)(x + 13)

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

x =

-2

and

9

x =

0

,

4

and

-13

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

12

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

28, 3, 21, 33, 27, 2, 31, 22, 29

20. A bag contains 5 blue balls, 2 red balls, and 4 white balls. You pick a ball from the bag and return it to the bag. What is the probability of picking:

A white ball?

36.36%

A blue ball or red ball?

63.64%

Two red balls?

3.31%

A blue ball and a white ball?

16.53%

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

x + y = -9 x - y = -19

A(-14,5)

9x - 8y = -11 4x + 6y = 9

B(0.07,1.45)

22. Write the following fractions in simplest form:

6xy^{4}

24xy^{4}

1

4

x^{8} - 9x^{7} + 20x^{6}

x(x - 4)

x^{5}(x - 5)

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

-8x + 12 = -x^{2}

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

24. Convert the following repeating decimal into a fraction:

x =
0.9158

9067

9900

25. Solve the following equation:

-8

x

+ 18 = -6

x

- 10

x = 196

26. Rationalize the denominator of each fraction below:

5

3

6 +

10

30

3

- 5

30

26

27. Use a trigonometric ratio to find x:

x = 9.24 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 6 blocks east and 8 blocks north. How far are you from your house?

I am

10

blocks from my house.

30. A rectangle has a length 10 m greater than its width. The area of the rectangle is 144m^{2}. What are the length and width of the rectangle?

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