13. Multiply the following polynomials and simplify:
(4x4 + 5x2 + 7x)(9x5 + 3x3)
36x9 + 57x7 + 63x6 + 15x5 + 21x4
(6x4 + 7x)(5x3 + 9x2 + 6)
30x7 + 54x6 + 71x4 + 63x3 + 42x
14. Divide:
10x2 - 45x + 35 / 5x - 5
2x - 7
15. Find the greatest common factor of the following terms:
78, 180, 60
6
147xy7, 300y2
3y2
16. Factor the following polynomials:
6x3 - 14x2 + 6x
6x(x -
7 +
13
6
)(x -
7 -
13
6
)
x2 + 8x + 7
(x + 7)(x + 1)
x5 - 19x4 + 70x3
x3(x - 5)(x - 14)
17. For question 16, exercises b) and c), solve for x:
x =
-7
and
-1
x =
0
,
5
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, vanilla, strawberry, peach or kiwi. How many choices do you have?
20
19. Use the following data to construct a box and whiskers plot:
16, 10, 25, 7, 22, 26, 27, 31, 20
20. A bag contains 6 blue balls, 4 red balls, and 4 white balls. You pick a ball from the bag and put it in your pocket. What is the probability of picking:
A white ball?
28.57%
A blue ball or red ball?
71.43%
Two red balls?
6.59%
A blue ball and a white ball?
13.19%
21. Solve and graph the following systems of linear equations:
x + y = -20 x - y = -15
A(-17.5,-2.5)
5x - 9y = 17 6x + y = -6
B(-0.63,-2.24)
22. Write the following fractions in simplest form:
22x6y7z4
44x7y9z2
z2
2xy2
(x + 5)
(x2 + 10x + 25)
1
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.
14 = x2 + 5x
x1 = -7, x2 = 2
24. Convert the following repeating decimal into a fraction:
x =
0.5
5
9
25. Solve the following equation:
13
x
= 4
x =
169
16
26. Rationalize the denominator of each fraction below:
10
6
5 +
2
50
6
- 20
3
23
27. Use a trigonometric ratio to find x:
x = 15.59 cm
28. The sum of two consecutive odd integers is 28. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=13, b=15
29. After you leave your house, you walk 12 blocks south and 5 blocks east. How far are you from your house?
I am
13
blocks from my house.
30. The sides of a square are increased by 6 ft. The area of the newly created square is 361ft2. What was the original length of one side of the square?
13. Multiply the following polynomials and simplify:
(5x4 + 3)3x4
15x8 + 9x4
(9x4 + 7)(4x4 + x)
36x8 + 9x5 + 28x4 + 7x
14. Divide:
20x2 - 45x + 25 / 4x - 5
5x - 5
15. Find the greatest common factor of the following terms:
200, 390
10
468x2y8, 264x6y2, 252x5y3
12x2y2
16. Factor the following polynomials:
21x5 - 21x4 - 42x3
21x3(x + 1)(x - 2)
x2 - 6x - 27
(x + 3)(x - 9)
x4 - 10x3 - 75x2
x2(x - 15)(x + 5)
17. For question 16, exercises b) and c), solve for x:
x =
-3
and
9
x =
0
,
15
and
-5
18. You are seating 8 people on 8 chairs. How many different ways can those people sit?
40320
19. Use the following data to construct a box and whiskers plot:
20, 25, 39, 21, 14, 11, 2
20. A bag contains 2 blue balls, 6 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?
38.46%
A blue ball or red ball?
61.54%
Two red balls?
21.30%
A blue ball and a white ball?
5.92%
21. Solve and graph the following systems of linear equations:
x + y = -11 x - y = -10
A(-10.5,-0.5)
6x - 3y = 14 6x + 7y = 16
B(2.43,0.2)
22. Write the following fractions in simplest form:
22x6y7z4
44x7y9z2
z2
2xy2
(x - 1)6
(x - 1)
(x - 1)5
23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
4x - 60 = -x2
x1 = -10, x2 = 6
24. Convert the following repeating decimal into a fraction:
x =
0.35
35
99
25. Solve the following equation:
4
x
= 8
x =
16
64
26. Rationalize the denominator of each fraction below:
15
27
5
3
3
27. Use a trigonometric ratio to find x:
x = 13.28 cm
28. The sum of two consecutive even integers is 54. What are the integers? (Hint: use 2x as the first even integer)
a=26, b=28
29. After you leave your house, you walk 12 blocks north and 5 blocks west. How far are you from your house?
I am
13
blocks from my house.
30. The length of a rectangle is 10 less than 2 times the width. What are the dimensions of the rectangle if the area is 252ft2?
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.