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MTH 208 Week 1 Individual Assignment

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Week 1 Individual Assignment
A)
50. The set of real numbers less than or equal to -4.
(-∞, -4)
94. Absolute value greater than 1?
-4, -3, -2, 2, 3, and 4.
100. The set of real number greater than or equal to -40 and less than or equal to -30.
110. a) –a. negative number. b) |-a| Absolute value is positive.
c) -|a| negative because you are making negative the absolute value.
d) –(-a) positive because a negative times a negative makes a positive
e) -|-a| negative because you are making an absolute value negative.
B)
18. 5/7 = ?/98
5*14 7*14
70/98
5/7 = 70/98
86. 19/20
19 * 5 = 95
20* 5 = 100
95%
19/ 2 = 9.5
20/2 = 10
0.95
19/20 = 95% = .95
104. 9/16 – 1/12
9*3 = 27 16*3 = 48
1*4 = 4 12*4 = 48
27-4 = 23
= 23/48
-7 -6 -5 -4 -3 -2 -1 0 1 2
3

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C)
36. -9 – (-2.3) = -9 + 2.3
66. -19 – 13 = -32
70. 15 + (-39) = ?
15 – 39 = -24
90. 13 + ( ? ) = -4
13 + 4 = 17
13 + (-17) = -4
13 – 17 = -4
D)
48. (-8)(-6)
8*6= 48
62. -9/10 * 4/3
-9*4 = -36
-10*3= -30
-36/30
-1 6/30
-1 1/5
76. -48 ÷ ( ? ) = 6
-48 ÷ 6 = -8
-48 ÷ -8 = 6
E)
90. 3[(2 – 3)^2 + (6 – 4)^2]
3[-1^2 + 2^2]
3[1 + 4]
3[5]
3*5 = 15
116. 8 – 3 |5 – 4^2 + 1|
5 | 5 + 16 +1|
5 | 22 ||
5*22 = 110
F)
54. Where a = -1, b = 2, and c = -3
(a – c)(a + c)
(-1 – (-3)) (-1 + (-3))
(-1 + 3)(-1 – 3)
(2)(-4)
2 * -4 = -8

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76. 5, 3x – 7 = 2x + 1
3 * 5 – 7 = 2 * 5 + 1
15 – 7 = 10 + 1
8 = 11
No. 5 is not a possible solution for x.
G)
24. y(y*5)(wy) = 5wyyy = 5wy^3
40. -3(6 – p)
-3*6 = -18
-3*-p = 3p
-18 + 3p
H)
36. 3r^2 + 4r^2
3*4 = 12
12r^2
96. 2a(a – 5) + 4(a – 5)
2a^2 – 10a + 4a – 20
2a^2 – 6a – 20
114. 1/4(6b + 2) – 2/3(3b – 2)
1/4 * 6b/1 + 1/4 * 2/1 – 2/3 * 3b/1 – 2/3 * -2/1
6b/4 + 2/4 – 6b/3 + 4/3
18b/12 + 6/12 – 24b/12 + 16/12
-6b/12 + 22/12
-6b/12 + 1 10/12
-6b/12 + 1 5/6

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