15. Find the greatest common factor of the following terms:
75, 36
3
12x6y4, 48x4y3, 39x4y6
3x4y3
16. Factor the following polynomials:
9x3 - 51x2 - 84x
9x(x +
4
3
)(x - 7)
x2 + 0x - 81
(x - 9)(x + 9)
x5 - 15x4 + 50x3
x3(x - 10)(x - 5)
17. For question 16, exercises b) and c), solve for x:
x =
9
and
-9
x =
0
,
10
and
5
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 or peach. How many choices do you have?
32
19. Use the following data to construct a box and whiskers plot:
38, 11, 9, 2, 27, 8, 33, 35, 32
20. A bag contains 3 blue balls, 4 red balls, and 2 white balls. You pick a ball from the bag and return it to the bag. What is the probability of picking:
A white ball?
22.22%
A blue ball or red ball?
77.78%
Two red balls?
19.75%
A blue ball and a white ball?
7.41%
21. Solve and graph the following systems of linear equations:
x + y = 10 x - y = 7
A(8.5,1.5)
x - 8y = -19 4x + 15y = 18
B(-3,2)
22. Write the following fractions in simplest form:
22x6y7z4
44x7y9z2
z2
2xy2
(x + 4)3
(x + 4)6
1
(x + 4)3
23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
-x2 = -7x - 18
x1 = -2, x2 = 9
24. Convert the following repeating decimal into a fraction:
x =
0.164
163
990
25. Solve the following equation:
7
x
- 13 = 6
x
- 5
x = 64
26. Rationalize the denominator of each fraction below:
10
15
+ 35
-
15
- 35
121
27. Use a trigonometric ratio to find x:
x = 32.53 cm
28. The sum of two consecutive even integers is 18. What are the integers? (Hint: use 2x as the first even integer)
a=8, b=10
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. The length of a rectangle is 2 more than twice its width. The area of the rectangle is 60ft2. What is the length and width of the rectangle?
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