Download Chapter 1 Answers

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Chapter 1 Sec 1 Answers: Page 7 – 9
11)
1) 16d
2) 196
3) 3136 sunrises
32. 72m
33. q – 1
34. r + 13
35. n + 9.4
36. s/3
37. n/41
38. “ The difference of a number and 31”
means p – 31, not 31 – p.
40. a) t + I b) A: 70; B:60; C:80 c) 46 points
43. 52.5

44. 6
45. 6
46. 1
54. The cost with tax is 1.05 times the cost of
the item; 1.05n
56. 4ph; 19,200; the factory uses 19,200
aglets each day.

63. 7.6
64. 27.95
65. 7.8, 7.98, 8.79, 8.9, 9.78, 9.87
66. B
Chapter 1 Sec 2 Answers: Page 12 – 13
17. (5.6) 3
18. (1.7)2
19. z 3
20. n 4
23. 10 to the sixth power;
10  10  10  10  10  10 ; 1,000,000
26. 4 to the fourth power; 4  4  4  4 ; 256
27. 0.2 squared; (0.2)(0.2); 0.04
28. 0.6 to the fourth power;
(0.6)(0.6)(0.6)(0.6);
 0.1296 3
29. a)Stage 3: E-mails sent: 4
Value of
power: 64 Stage 4: E-mails sent: 4 4 Value
of power: 256
b)262,144 e-mails
32. 2401; 0.0256 
33. 16,807; 0.01024

36. a) 3375 in 3 b)121.5 lb
38. x =8; y =4; z=2
39. 17.75
41.0.5
48. B
Chapter 1 Section 3 Answers: Page 19 – 20
10. 11.7
12. 11
14. 3
16. 60
18. 14
23. 9.1
25. 7
26. 45.4
27. 20
29. 5  72  4  48; 552in
30. 4(1) + 7(2) + 2(3); 24points
32. 86
33. 7
34. 5
35. 4.3
36. a)
39  0.3m
or 19.5 + 0.15m
2
b) $38.25
Chapter 1 Sec 4 Answers pg 24 – 26
18. <
19. >
20. >
21. <
25. -30, -25, -22, -16
26. 22
28. 21
30. 38
32. 73
34. -6
36. 2
38. 31
40. -81
47. 40
48. 5
49. 13
50. 18
53. a) increase b) decrease c) Wednesday;
Saturday d) The high temperature
consistently rose from Sunday through
Wednesday and consistently fell from
Wednesday through Saturday.
54. 15
56. 15
58. -13
65. x, -x
Chapter1 Section5 Page 31 – 33
1. absolute value
2. │-71│>│43│, so the sum will have the
same sign as -71
3. 2
4. -15
5. 8
6. 8
7. -12
8. -13
9. -6
10. -15
11. -12
12. 90°C
13. The arrow should start at -2 and go 5
units in the positive direction; -2 + 5 =
3
14. A
15. -16
16. 9
17. -10
18. 10
19. -14
20. -13
21. 6
22. 3
23. -9
24. -14
25. -52
26. 50
27. -26
28. -15
29. -102
30. 13
31. 5
32. 21
33. 7
34. -71
35. -24
36. -4
37. -13
38. -1
39. See Margin for Art, The length of the
arrow is the absolute value of the
second number. The direction of the
arrow is right if the second number is
positive and left if the second number
is negative.
40. a) 2 b) -3 c) -1 d) Game 1; the greater
the plus-minus rating, the better the
rating
41. $63
42. -1323
43. -1915
44. -578
45. a) -3743 m b) -4943 m
46. Sample answer: 1 and -25; 2 and -26, 3
and -27
47. -24
48. 10
49. 65
50. -2
51. -17
52. -18
53. -18
54. Even; the sum of two even numbers is
even
55. Even; the sum of two odd numbers is
even
56. Odd; the sum of an even number and
an odd number is odd
57. x ≤ 0; if x < 0, then │x│ and x are
opposites so their sum is 0; if x = 0,
then │x│ and x are both 0 so their sum
is 0
58. 7
59. If a and b have the same sign or if a or
b is 0
60. If a and b have different signs and
neither a nor b is 0
61. n + 14.5
62. m – 2.75
63. 4900 yd²
64. =
65. <
66. >
67. C
68. x > 10 or x < -10; if x > 10 or x < -10,
then │x│ > 10 and -10 + │x│ > 0
Chapter 1 Section 6 Page 36 – 38
1. -15 – x
2. Add the opposite of -60 to -45 to obtain
-45 + 60 = 15
3. -5
4. 8
5. -13
6. -4
7. -10
8. -22
9. 13
10. -1
11. 1) -110 2) -90 3) -20 ft
12. -1
13. 9
14. -16
15. 12
16. -15
17. 39
18. -24
19. 52
20. -17
21. -71
22. 177
23. -52
24. 23
25. 10
26. -13
27. -10
28. -25
29. -19
30. 21
31. -10
32. To subtract a number, add the opposite
number; so -2 – (-5) = -2 + 5 = 3.
33. 41°C
34. a) pasteurization to aging: -85°C, aging
to hardening: -35°C, hardening to
storage: 25°C; 85°C, 35°C, 25°C b)
pasteurization to aging c) Estimates
may vary; about 52°C
35. 25°C
36. -8°F
37. 30 ft
38. -100 m
39. -190
40. -609
41. 235
42. -195
43. -12
44. 30
45. -16
46. -12
47. solution B; 24°C lower
48. 29°C, 282°C; regular lab; 253°C
49. No; if b = 0, then a + b = a – b and if b <
0, then a + b < a – b
50. 19
51. 6
52. -1
53. -2
54. a) Negative; a < 0 and b > 0, so – b < 0
and a – b = a + (-b) is the sum of two
negative integers. b) Positive; b > 0 and
a < 0, so – a > 0 and b – a = b + (-a) is
the sum of two positive integers. c)
Positive; │a│ and │b│ are both
positive. d) Negative; - │a│ and -│b│
are both negative, and -│a│ - │b│ = │a│ + (-│b│) is the sum of two
negative integers.
55. 6:40 A.M.
56. 18
57. 30
58. 54
59. 6
60. 10
61. 29
62. 75
63. -51
64. -370
65. A
66. F
Chapter 1 Section 7 Page 44 – 46
1. The mean of a data set is the sum of the
values divided by the number of values
2. The signs ate the same
3. Positive
4. negative
5. negative
6. positive
7. negative
8. negative
9. positive
10. positive
11. 1) -3 2) 9(- 3); - 27 3) -5°C
12. 60
13. 2
14. -13
15. -132
16. -350
17. -2
18. 2
19. -360
20. -7
21. 17
22. 340
23. -120
24. The numerator should be positive; -5(12)/-4 = 60/-4 = -15
25. Sample answer: The rules are alike in
that if the two signs are alike the
product or quotient is positive and if
the two signs are different the product
or quotient is negative. The rules are
different for zero: for multiplication, if
either factor is zero then the product is
zero, but for division you have to check
that the divisor is not zero.
26. Table
b) If the number of negative signs is even,
then the product is positive; if the number of
negative signs is odd, then the product is
negative.
c) No; the sign of the product depends on
whether the number of negative signs is even
or odd.
27. a) -20,000 ft b) 10 min
28. a) – 49 m b) – 48 m c) mean
29. -1250
30. 512
31. 5
32. -2
33. -4
34. 100
35. <
36. <
37. 67 ft
38. -160
39. 4.5
40. -96
41. -6.4
42. 1
43. No; the product of an odd number of
negative factors is negative, while the
product of an even number of negative
factors is positive, so (-1)ⁿ = -1 is true
for any odd positive integer. Example
(-1)³ = -1 but (-1)4 = 1.
44. a) Sometimes; if k = 5 and n = -2, then
nk = -10 and -10 < -2. If k = -5 and n = 2, then nk = 10 and 10 > -2
b)
Sometimes; if k = 5 and n = 2, then nk =
10 and 10 > 2. If k = -5 and n = 2, then
nk = -10 and -10 < 2.
45. -21, -12, -5, 0, 13, 31
46. -70, -54, -45, -22, -16
47. 24
48. -29
49. -51
50. -32
51. C
52. -4°F; Step 1: Add the values to get 24°F. Step 2: Count the values to get 6.
Ste
2
2
+
p 3:
3
-6
Divi
4
24
+
de 5
-120
24°
F by 6 to get -4°F.
Chapter 1 Section 8 Page 49 – 51
1. -12; 7
2. No; you can only determine that the
point is either in Quadrant II or in
Quadrant IV
3. Quadrant I
4. Quadrant III
5. y- axis
6. Quadrant IV
7. 1) (8, 19), (24, 13), (31, 17), (71, 14),
(88, 11), (103, 7), (119, 7), (127, 5),
(134, 3)
2) graph 3) The points
generally fall from left to right. We can
conclude that as the depth increases
the speed tends to decrease.
8. (-4, 2)
9. (0, 3)
10. (0, 0)
11. (4, 0)
12. (-2, -4)
13. (3, -3)
14. (4, 4)
15. (-3, -2)
16. Begin at the origin and move 6 units to
the right and 3 units down.
17. Quadrant I
18. x-axis
19. Quadrant IV
20. Quadrant IV
21. Quadrant III
22. y-axis
23. Quadrant III
24. Quadrant IV
25. The first number refers to left/right
and the second number refers to
up/down; the point (2, -8) is 2 units to
the right of the origin and 8 units
down.
26. If an ordered pair contains one zero
and that zero is the second number,
the point is on the x-axis; if that zero is
the first number, the point is on the yaxis. If both numbers are zero, the
point is the origin, and would be on
both the x-axis and y-axis.
27. a) graph b)The points generally fall
from left to right, so we can conclude
that as the engine size increases the
mileage tends to decrease.
28. a)graph b) Square; all four sides are
the same length and all four angles are
right angles.
29. a) -5, -3, -1, 1, 3, 5, 7 b) (-3, -5), (-2, 3), (-1, -1), (0, 1), (1, 3), (2, 5), (3, 7)
c) graph d) The points lie on a line
30. a) B: (3, 2) W:(2, 2), (3, 1), (3, 3), (4, 2)
b) (-4, 2), (-3, 1), (-3, 3), (-2, 2)
31. Sample answer: P(5, 0), Q(5, 5), R(0,
5); the distance from O to P is 5 units,
the distance from P to Q is 5 units, the
distance from Q to R is 5 units, the
distance from R to O is 5 units.
32. Quadrant IV
33. Quadrant III
34. Quadrant I
35. 20 – 2c
36. always
37. never
38. sometimes
39. -45
40. -21
41. 21
42. -153
43. B
44. G