13. Multiply the following polynomials and simplify:

4x(1x^{2} + 6x)

4x^{3} + 24x^{2}

(6x^{4} + 10x)(6x^{5} + 8x^{2} - 8)

36x^{9} + 108x^{6} - 48x^{4} + 80x^{3} - 80x

14. Divide:

25x^{3} + 50x^{2} + 30x + 60 / 5x + 10

5x^{2} + 6

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

54, 84, 60

6

22xy^{3}, 52y^{4}, 24x^{4}y^{5}

2y^{3}

16. Factor the following polynomials:

16x^{3} - 46x^{2} + 28x

16x(x -

7

8

)(x - 2)

x^{2} + 15x + 50

(x + 10)(x + 5)

x^{4} - 2x^{3} - 120x^{2}

x^{2}(x - 12)(x + 10)

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

x =

-10

and

-5

x =

0

,

12

and

-10

18. You have 3 pants, 5 shirts, and 3 shoes. How many different ways can you dress?

45

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

24, 11, 23, 15, 18, 5, 35, 25, 37

20. A bag contains 7 blue balls, 5 red balls, and 5 white balls. You pick a ball from the bag and return it to the bag. What is the probability of picking:

A white ball?

29.41%

A blue ball or red ball?

70.59%

Two red balls?

8.65%

A blue ball and a white ball?

12.11%

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

x + y = 13 x - y = -2

A(5.5,7.5)

5x - 5y = -10 6x + 7y = 9

B(-0.38,1.62)

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^{3}(x + 1)

x^{3} - 3x^{2} - 4x

x^{2}

(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} = 19x + 78

x_{1} = -6, x_{2} = -13

24. Convert the following repeating decimal into a fraction:

x =
3.982

3584

900

25. Solve the following equation:

20

x

= 2

x = 5

26. Rationalize the denominator of each fraction below:

10

18

5

2

3

27. Use a trigonometric ratio to find x:

x = 16.45 cm

28. The sum of two consecutive odd integers is 56. What are the integers? (Hint: use 2x+1 as the first odd integer)

a=27, b=29

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

I am

10

blocks from my house.

30. A rectangle has a length 2 ft greater than its width. The area of the rectangle is 224ft^{2}. What are the length and width of the rectangle?

13. Multiply the following polynomials and simplify:

3x^{2}(8x^{4} + 6x^{2} - 8)

24x^{6} + 18x^{4} - 24x^{2}

(4x^{3} + x^{2})(1x^{4} + 9x^{2} + 4x)

4x^{7} + x^{6} + 36x^{5} + 25x^{4} + 4x^{3}

14. Divide:

15x^{3} + 6x^{2} - 40x - 16 / 5x + 2

3x^{2} - 8

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

84, 90

6

35x^{6}y^{8}, 9x^{10}y^{6}, 72x^{3}y^{10}

x^{3}y^{6}

16. Factor the following polynomials:

9x^{5} + 0x^{4} - 9x^{3}

9x^{3}(x - 1)(x + 1)

x^{2} + 0x - 100

(x + 10)(x - 10)

x^{5} - x^{4} - 12x^{3}

x^{3}(x - 4)(x + 3)

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

x =

-10

and

10

x =

0

,

4

and

-3

18. You have 3 pants, 3 shirts, and 5 shoes. How many different ways can you dress?

45

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

7, 9, 3, 18, 12, 15, 4, 38, 8

20. A bag contains 7 blue balls, 4 red balls, and 3 white balls. You pick a ball from the bag and put it in your pocket. What is the probability of picking:

A white ball?

21.43%

A blue ball or red ball?

78.57%

Two red balls?

6.59%

A blue ball and a white ball?

11.54%

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

x + y = -5 x - y = -17

A(-11,6)

8x - 9y = -8 13x + 12y = -13

B(-1,0)

22. Write the following fractions in simplest form:

46x^{7}y^{2}

23x^{10}y^{3}

2

x^{3}y

(x + 9)

(x^{2} + 18x + 81)

1

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.

9x = x^{2} - 22

x_{1} = -2, x_{2} = 11

24. Convert the following repeating decimal into a fraction:

x =
0.2

2

9

25. Solve the following equation:

14 +

x - 3

= 14

x = 3

26. Rationalize the denominator of each fraction below:

25

10

21

2

25

5

21

27. Use a trigonometric ratio to find x:

x = 22.52 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 16 blocks west and 12 blocks north. How far are you from your house?

I am

20

blocks from my house.

30. A rectangle has an area of 260ft^{2}. Its width is 7 ft less than its length. What are the dimensions of the rectangle?

Enjoy this page? Please pay it forward. Here's how...

Would you prefer to share this page with others by linking to it?

Click on the HTML link code below.

Copy and paste it, adding a note of your own, into your blog, a Web page, forums, a blog comment, your Facebook account, or anywhere that someone would find this page valuable.