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

90, 60, 66

6

39x^{7}y^{2}, 78x^{2}y^{10}

39x^{2}y^{2}

16. Factor the following polynomials:

68x^{5} + 51x^{4} - 17x^{3}

68x^{3}(x -

1

4

)(x + 1)

x^{2} + 0x - 36

(x + 6)(x - 6)

x^{7} + 13x^{6} + 36x^{5}

x^{5}(x + 9)(x + 4)

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

x =

-6

and

6

x =

0

,

-9

and

-4

18. You have 8 CDs. How many different ways can you listen to them?

40320

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

35, 21, 1, 10, 6, 30, 16, 40, 15, 19

20. A bag contains 3 blue balls, 2 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?

50.00%

A blue ball or red ball?

50.00%

Two red balls?

2.22%

A blue ball and a white ball?

16.67%

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

x + y = -8 x - y = 5

A(-1.5,-6.5)

7x - 3y = -11 4x + 9y = 1

B(-1.28,0.68)

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^{8} + 1x^{7} - 72x^{6}

x^{4}(x - 8)

x^{2}(x + 9)

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} + 84 = 20x

x_{1} = 14, x_{2} = 6

24. Convert the following repeating decimal into a fraction:

x =
0.5

5

9

25. Solve the following equation:

10

x

- 9 = 9

x

+ 13

x = 484

26. Rationalize the denominator of each fraction below:

15

9

9

21

5

21

21

27. Use a trigonometric ratio to find x:

x = 27.71 cm

28. The sum of two consecutive odd integers is 52. What are the integers? (Hint: use 2x+1 as the first odd integer)

a=25, b=27

29. After you leave your house, you walk 8 blocks west and 6 blocks south. How far are you from your house?

I am

10

blocks from my house.

30. Each side of a square is lengthened by 3 m. This makes the area of the square 100m^{2}. What is the original length of a side of the square?

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

70, 44, 90

2

72x^{4}y^{9}, 90x^{10}y^{3}, 42x^{10}y^{7}

6x^{4}y^{3}

16. Factor the following polynomials:

2x^{5} - 18x^{4} + 31x^{3}

2x^{3}(x -

9 +

19

2

)(x -

9 -

19

2

)

x^{2} - 2x + 1

(x - 1)(x - 1)

x^{5} - 20x^{4} + 84x^{3}

x^{3}(x - 14)(x - 6)

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

x =

1

and

1

x =

0

,

14

and

6

18. You are seating 3 people on 3 chairs. How many different ways can those people sit?

6

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

36, 11, 32, 29, 22, 18, 21

20. A bag contains 3 blue balls, 4 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?

30.00%

A blue ball or red ball?

70.00%

Two red balls?

16.00%

A blue ball and a white ball?

9.00%

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

x + y = 5 x - y = -16

A(-5.5,10.5)

10x - 7y = 10 8x + 10y = 13

B(1.22,0.32)

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^{2} + 18x + 81)

(x + 9)

x + 9

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

70 = x^{2} - 9x

x_{1} = 14, x_{2} = -5

24. Convert the following repeating decimal into a fraction:

x =
0.69

69

99

25. Solve the following equation:

6

x

= 12

x =

36

144

26. Rationalize the denominator of each fraction below:

35

15 -

21

525 + 35

21

204

27. Use a trigonometric ratio to find x:

x = 19.92 cm

28. The sum of two consecutive odd integers is 36. What are the integers? (Hint: use 2x+1 as the first odd integer)

a=17, b=19

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. The sides of a square are increased by 5 m. The area of the newly created square is 324m^{2}. What was the original length of one side of the square?

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