CHAPTER 5 - Selected Answers “Evens”
p.1
Section 5.1 (p.272)
2. -4 4. yes 6. no 8. y = -7x – 2 10. y = 4 12. y = 14x – 6 14. y = x – 1 16. y = 10x
18. y  4 x  73 20. y = 0 22. m = 2, b = -2 24. m =  43 , b = -1 26. m = 52 , b = -2
28. y = x + 1 30. y  52 x  1 32. y   32 x  4 34. B 36. A 38. E 40. y = -0.02x + 13.64
42. (sample answer) 12.76 sec 44. y  12 x  3 , y  12 x  1, y  12 x  2 46. y  12 x  1
48. (sample answer) The lines have slopes of  1 & y-intercepts of  63.64 50. y = -4x + 2
52. y = 12x +32 54. C 56. -3 58. -18 60. 54 62. (0,3),(1,9),(2,15) 64. (0,0),(4,2),(6,3)
66. (-1,2),(0,1),(1,0) 68. -2, 2
72. -3, 4
70. -3, 5
74.
1
2
76.
1
100
78. 1 80.
1
20
1
82. 5 100
Section 5.2 (p.281)
2. y + 1 = 3(x – 2) 4. y + 7 = -2(x + 5) 6. y  5  23  x  1 8. y = 2x + 10 10. y = -3
12. y = -3x + 10 14. y  2   23  x  2  16. y  1  23  x  1 18. y  2   32  x  3
20. y+3 = 4(x + 1) 22. y = 2(x + 10) 24. y–3 = -6(x + 4) 26. y–2 = -7(x – 12), y=-7x +10
28. y + 12 = -11(x – 5), y = -11x + 43 30. y – 4 = 3(x + 2), y = 3x + 10 32. y–2 = 12 ( x  6) ,
38. y = 7x – 56
y  12 x  1 34. y  2  14  x  4 , y  14 x  3 36. y   53 x  29
5
40. y  12 x  14 42. y  23 x  1 44. y – 32.5 = 0.455(x – 40), y = 0.455x + 14.3
46. y = 11x + 358 48. 545 million trips 50. F 52. yes 54. yes 56. yes
Selected Answers “Evens”
64.
1
3
66.
5
24
68.
5
9
70.
p.2
1
10
Section 5.3 (p.288)
2. y = mx + b 4. y  12 x 6. y  43 x  73 8. y = -x + 7 10. y  5  56  x  6 or y  56 x
12. y  7   14  x  8 or y  9   14 x 14. y  2   17  x  7  or y  1   17 x
16. y  6  43  x  17  or y  2  43  x  11 18. y = -3x – 3 20. y = x + 4 22. y  12 x  12
24. y = -2x – 3 26. y  92 x  19
28. y = 4x 30. y = x 32. y  12 x  12 34. slope-interecept
2
1 x  12.5 38. y  35 x  1600 ,
form, y  53 x  3 36. y   15
3
3
44.
13
3
35
3
40. s = 0.6t + 331 42. J
7
11 , 22 19
46. 1 48.  12 50. 3 12
, 3 72 , 3 87 , 11 80
20
Section 5.4 (p.294)
2. standard form, (sample example) 2x + 3y = -6 4. x – 2y = -16 or –x + 2y = 16
6. 4x + y + 16 8. 3x – y = -1 10. x = 1 12. y = 2 14. y = -4 16. -3x + y = -8 or 3x – y = 8
18. 2x – 3y = 0 20. -18x + 2y = 1 or 18x – 2y = -1 22. 4x + y = -1 24. x + y = -13
26. y = 6 28. x – 2y = 21 30. 5x + 4y = 20 32. y = 0 34. 5x + 4y = -20 36. x + 3y = 3
38. 6x – y = 31 40. x = -3 42. y = 0 44. y  1 12 46. x + y = 9 48. x + y = 10 50. y = 1
52. 2x – y = 1 54. x + 2y = 4 56. The expression inside the parentheses was simplified
incorrectly. It should have been: x – (-6) = x + 6. 58. 16, 12, 8, 4, 0 (see graph below)
60. 3x + 2y = 6 62. F 64. 11 66. 4 68. 21
or 5.25 70. (see graph below)
4
72. $15 74. $4,574 76. $100 78. $1
Selected Answers “Evens”
p.3
Section 5.5 (p.301)
2. rate of change 4. A; The slope, -10, represents the amount by which the money owed
decreases each week. 6. P = 70,000t + 1,440,000 8. 0 10. no 12. 38 14. y = 28x + 10
16. $94.00 18. 2.2 20. C = 2.2t + 46.7 22. (see graph below) 24. cost of student ticket =
$5, cost of non-student ticket = $7, total cost = $315
26. 40, 35, 25, 20, 5, 0 28. y = -2x + 102 30. (see graph above)
32. 8, 6.4, 4.8, 3.2, 1.6, 0 34. about 4571 years 36. J 38. 1 40. 120 hr 42. 144 months
44. y = 7 46. y  12 x 48. y  52 x  56 50. = 52. = 54. < 56. < 58. <
Section 5.6 (p.309)
2. 75 4. yes 6. yes 8. y = 3x + 8; The product of the slopes is 3  13  1 , so the lines are
 
perpendicular. The slopes are ‘negative reciprocals”. 10. y  12 x  3 12. no 14. yes
16. yes 18. y = 2x + 2, y = -x, no 20. y = 2x – 11; The lines are perpendicular since the
slopes are negative reciprocals (or since the product of their slopes is ‘-1’. 22. y = -x + 3;
Perpendicular lines because the product of their slopes is ‘-1’. 24. y = 9; Horizontal lines
and vertical lines are perpendicular to each other. 26. y   12 x  32 28. y  32 x  52
30. x = -2 32. y = 2x + 2 34. y = 4x 36. y  12 x  12 38. y = -x + 5 40. always 42. never
44. y = 1 46. Yes, a line through the first and second points is perpendicular to a line
through the second and third points. A line through the first and third points is neither
parallel nor perpendicular to the other two lines. 48. J 50. 3c + 7 52. -5 54. 13
60. 2 23 62.
15
56
64.
18
25
7
7
66. 1 20
68. 3 70. 1 50
Selected Answers “Evens”
p.4
Chapter 5 Summary and Review (p.313)
2. y  x  12 4. y  12 x  56 6. y = 10 8. y   12 x  1 10. y – 4 = 2(x – 1), y = 2x + 2
3
12. y   32  x  2 , y   32 x  3 14. y   11
16. y  10
18. y = 8
x  19
x  22
7
7
5
20. 3x – y = -5 22. 4x + y = 11 24. y = 11, x = 9 26. 5x – 2y = -5 28. 5x – 2y = 2
30. 6  4s  36 32. no 34. y   75 x  52 36. y   13 x  13
Chapter Test (p.317)
1. y = 2x – 1 2. y   14 x  3 3. y = 61x + 9 4. y  14 x  3 5. y = -3x + 3 6. y = 4
7. y = 2x + 2 8. y = -5x + 6 9. y = -3x – 21 10. y = -4x + 12 11. y  12 x  4
12. y  8x  23
13. y   73 x  75 14. y = -3x + 20 15. y   14 x  92 16. y = 8x + 8
3
17. y  72 x  24
18. y = x – 10 29. -2x – 40y = 100 20. 25x – 5y = 0 21. x – 4y = 8
7
22. y  15 x  22
23. y = -x – 4 24. y  13 x  7 25. y = -2x 26. y  32 x  27
27. y = -x + 20
5
2
28. 15x + 25y = 315 29. y   53 x  63
, 12, 9, 6, 3, 0
5
30.
Chapter 5 Standardized Test (p.318)
1. B 2. D 3. B 4. B 5. C 6. D 7. C 8. D
Maintaining Skills (p.265)
6. > 8. > 10. < 12. <