Prealgebra

# Chapter 11

PrealgebraChapter 11

## Try It

11.1
1. 1C
2. Engineering Building
11.2
1. 1A
2. Library
11.11
1. A: (5,1)
2. B: (−2,4)
3. C: (−5,−1)
4. D: (3,−2)
11.12
1. A: (4,2)
2. B: (−2,3)
3. C: (−4,−4)
4. D: (3,−5)
11.13
1. A: (4,0)
2. B: (0,3)
3. C: (−3,0)
4. D: (0,−5)
11.14
1. A: (−3,0)
2. B: (0,−3)
3. C: (5,0)
4. D: (0,2)
11.15

,

11.16

,

11.18

,

11.19
$y=3x−1y=3x−1$
$xx$ $yy$ $(x,y)(x,y)$
$00$ $−1−1$ $(0,−1)(0,−1)$
$−1−1$ $−4−4$ $(−1,−4)(−1,−4)$
$22$ $55$ $(2,5)(2,5)$
11.20
$y=6x+1y=6x+1$
$xx$ $yy$ $(x,y)(x,y)$
$00$ $11$ $(0,1)(0,1)$
$11$ $77$ $(1,7)(1,7)$
$−2−2$ $−11−11$ $(−2,−11)(−2,−11)$
11.21
$2x−5y=202x−5y=20$
$xx$ $yy$ $(x,y)(x,y)$
$00$ $−4−4$ $(0,−4)(0,−4)$
$1010$ $00$ $(10,0)(10,0)$
$−5−5$ $−6−6$ $(−5,−6)(−5,−6)$
11.22
$3x−4y=123x−4y=12$
$xx$ $yy$ $(x,y)(x,y)$
$00$ $−3−3$ $(0,−3)(0,−3)$
$44$ $00$ $(4,0)(4,0)$
$−4−4$ $−6−6$ $(−4,−6)(−4,−6)$
11.23

11.24

11.25

11.26

11.27

11.28

11.29
1. yes yes
2. no no
3. no no
4. yes yes
11.44

x-intercept (2,0): y-intercept (0,−2)

11.45

x-intercept (3,0); y-intercept (0,2)

11.46

$(4,0)(4,0)$ and $(0,12)(0,12)$

11.47

$(8,0)(8,0)$ and $(0,2)(0,2)$

11.48

x-intercept (4,0); y-intercept: (0,−3)

11.49

x-intercept (4,0); y-intercept: (0,−2)

11.56
1. intercepts
2. horizontal line
3. plotting points
4. vertical line
11.57
1. vertical line
2. plotting points
3. horizontal line
4. intercepts
11.58

$4 3 4 3$

11.59

$1 4 1 4$

11.60

$− 2 3 − 2 3$

11.61

$− 4 3 − 4 3$

11.66

$2 5 2 5$

11.67

$3 4 3 4$

11.68

$− 4 3 − 4 3$

11.69

$− 3 5 − 3 5$

11.70

$5 4 5 4$

11.71

$3 2 3 2$

11.72

undefined

11.76

−1

11.77

10

11.84

$7 12 7 12$

11.85

$5 12 5 12$

11.86

$− 1 36 − 1 36$

11.87

$− 1 48 − 1 48$

## Section 11.1 Exercises

1.

3.

5.

7.

9.

11.

13.

21.

,

23.

,

25.

,

27.

,

29.
$xx$ $yy$ $(x,y)(x,y)$
$−1−1$ $−6−6$ $(−1,−6)(−1,−6)$
$00$ $−4−4$ $(0,−4)(0,−4)$
$22$ $00$ $(2,0)(2,0)$
31.
$xx$ $yy$ $(x,y)(x,y)$
$−2−2$ $77$ $(−2,7)(−2,7)$
$00$ $55$ $(0,5)(0,5)$
$33$ $22$ $(3,2)(3,2)$
33.
$xx$ $yy$ $(x,y)(x,y)$
$−2−2$ $11$ $(−2,1)(−2,1)$
$00$ $−2−2$ $(0,−2)(0,−2)$
$22$ $−5−5$ $(2,−5)(2,−5)$
35.
1. Age and weight are only positive.
37.

## Section 11.2 Exercises

39.
1. yes yes
2. no no
3. yes yes
4. yes yes
40.
1. yes yes
2. yes yes
3. no no
4. no no
41.
1. yes yes
2. yes yes
3. yes yes
4. no no
42.
1. yes yes
2. yes yes
3. no no
4. yes yes
43.

45.

47.

49.

51.

53.

55.

57.

59.

61.

63.

65.

67.

69.

71.

73.

75.

77.

79.

81.

83.

85.

87.

89.

91.

93.
94.
95.

97.
98.
99.
100.
101.
102.
103.
104.
105.
106.
107.
108.
109.
110.
111.
112.
113.

$722,$850, \$978

115.

## Section 11.3 Exercises

117.

(3,0),(0,3)

119.

(5,0),(0,−5)

121.

(−2,0),(0,−2)

123.

(−1,0),(0,1)

125.

(0,0)

127.

(4,0),(0,4)

129.

(−2,0),(0,−2)

131.

(5,0),(0,−5)

133.

(−3,0),(0,3)

135.

(8,0),(0,4)

137.

(2,0),(0,6)

139.

(12,0),(0,−4)

141.

(2,0),(0,−8)

143.

(5,0),(0,2)

145.

(4,0),(0,−6)

147.

(3,0),(0,−1)

149.

(−10,0),(0,2)

151.

(0,0)

153.

(0,0)

155.

157.

159.

161.

163.

165.

167.

169.

171.
173.

175.

177.

179.

181.

vertical line

183.

horizontal line

185.

plotting points

187.

intercepts

189.

plotting points

191.

horizontal line

193.

intercepts

195.

plotting points

197.

(0,1,000),(15,0). At (0,1,000) he left Chicago 0 hours ago and has 1,000 miles left to drive. At (15,0) he left Chicago 15 hours ago and has 0 miles left to drive.

199.

201.

## Section 11.4 Exercises

203.

$1 4 1 4$

205.

$− 3 2 − 3 2$

207.

209.

211.

213.

215.

$2 5 2 5$

217.

$5 4 5 4$

219.

$− 1 3 − 1 3$

221.

$− 3 4 − 3 4$

223.

$3 4 3 4$

225.

$− 5 2 − 5 2$

227.

$− 2 3 − 2 3$

229.

$1 4 1 4$

231.

0

233.

undefined

235.

0

237.

undefined

239.

$5 2 5 2$

241.

$3 4 3 4$

243.

$− 5 2 − 5 2$

245.

$− 8 5 − 8 5$

247.

$7 3 7 3$

249.

−1

251.

253.

255.

257.

259.

261.

263.

265.

267.

$1 3 1 3$

269.

$3 50 3 50$ $rise = 3 ; run = 50 rise = 3 ; run = 50$

271.
1. 288 inches (24 feet)
2. Models will vary.
273.

275.

## Review Exercises

277.

279.
1. III
2. II
3. IV
4. I
281.
1. (5,3)
2. (2,−1)
3. (−3,−2)
4. (−1,4)
283.
1. (2,0)
2. (0,−5)
3. (−4,0)
4. (0,3)
285.

,

287.
$xx$ $yy$ $(x,y)(x,y)$
$00$ $−1−1$ $(0,−1)(0,−1)$
$11$ $33$ $(1,3)(1,3)$
$−2−2$ $−9−9$ $(−2,−9)(−2,−9)$
289.
$xx$ $yy$ $(x,y)(x,y)$
$55$ $00$ $(5,0)(5,0)$
$11$ $22$ $(1,2)(1,2)$
$−1−1$ $33$ $(−1,3)(−1,3)$
291.

293.

295.
1. yes no yes yes
2. yes no yes yes
297.

299.

301.

303.

(0,3) (3,0)

305.

(−1,0) (0,1)

307.

(0,0)

309.

311.

horizontal line

313.

intercepts

315.

plotting points

317.

$4 3 4 3$

319.

$− 2 3 − 2 3$

321.

323.

325.

1

327.

$− 1 2 − 1 2$

329.

undefined

331.

0

333.

−4

335.

$1 2 1 2$

337.

## Practice Test

339.

341.

(4,0), (0,−2)

343.

no; 1 + 4 · 3 ≠ 12

345.
 $xx$ $yy$ $(x,y)(x,y)$ $00$ $88$ $(0,8)(0,8)$ $22$ $00$ $(2,0)(2,0)$ $33$ $−4−4$ $(3,−4)(3,−4)$
347.

349.

$− 5 2 − 5 2$

351.

0

353.

$1 50 1 50$

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