15. Find the greatest common factor of the following terms:
36, 72
36
45x7y3, 84x6y5
3x6y3
16. Factor the following polynomials:
28x3 + 99x2 + 81x
28x(x +
9
7
)(x +
9
4
)
x2 + 4x - 45
(x - 5)(x + 9)
x4 - 2x3 - 48x2
x2(x + 6)(x - 8)
17. For question 16, exercises b) and c), solve for x:
x =
5
and
-9
x =
0
,
-6
and
8
18. You are seating 4 people on 4 chairs. How many different ways can those people sit?
24
19. Use the following data to construct a box and whiskers plot:
23, 27, 12, 18, 6, 14, 3
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 = -7 x - y = 7
A(0,-7)
3x - 6y = 8 5x + 5y = -15
B(-1.11,-1.89)
22. Write the following fractions in simplest form:
40x5y4
20xy2
2x4y2
(x2 + 14x + 49)
(x + 7)
x + 7
23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
x2 - 90 = -9x
x1 = -15, x2 = 6
24. Convert the following repeating decimal into a fraction:
x =
0.428
386
900
25. Solve the following equation:
-13 +
3x - 3
= -4
x = 28
26. Rationalize the denominator of each fraction below:
10
2
- 35
-
10
2
+ 350
1223
27. Use a trigonometric ratio to find x:
x = 24.25 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 6 blocks south and 8 blocks east. How far are you from your house?
I am
10
blocks from my house.
30. The length of a rectangle is 6 more than thrice its width. The area of the rectangle is 45m2. What is the length and width of the rectangle?
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