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Prealgebra 2e

Chapter 11

Prealgebra 2eChapter 11

Chapter 11

Be Prepared

11.1

2 2

11.2

16 16

11.3

5 5

11.4

− 1 − 1

11.5

y = 20 − 5 x 2 y = 20 − 5 x 2

11.6

− 9 − 9

11.7

− 4 − 4

11.8

y -axis y -axis

11.9

b

11.10

− 1 2 − 1 2

11.11

0, undefined 0, undefined

11.12

− 5 , − 5 , 5 − 5 , − 5 , 5

Try It

11.1
  1. ⓐ 1C
  2. ⓑ Engineering Building
11.2
  1. ⓐ 1A
  2. ⓑ Library
11.5

(a) Quadrant II, (b) Quadrant III, (c) Quadrant IV, (d) Quadrant II

11.6

(a) Quadrant II, (b) Quadrant II, (c) Quadrant IV, (d) Quadrant II

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

ⓑ , ⓒ

11.17

ⓑ

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

Answers will vary.

11.24

Answers will vary.

11.25

Answers will vary.

11.26

Answers will vary.

11.27

Answers will vary.

11.28

Answers will vary.

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.


15.

C(1, -3) D(4, 3)

17.

S(-2, 4) T(-4, -2)

19.

C(0, -1) D(-1, 0)

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. ⓐ
  2. ⓑ Age and weight are only positive.
37.

Answers may vary.

Section 11.2 Exercises

39.
  1. ⓐ yes ⓑ yes
  2. ⓐ no ⓑ no
  3. ⓐ yes ⓑ yes
  4. ⓐ no ⓑ no
41.
  1. ⓐ yes ⓑ yes
  2. ⓐ yes ⓑ yes
  3. ⓐ yes ⓑ yes
  4. ⓐ no ⓑ no
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.


95.


97.


99.


101.
103.
105.
107.
109.
111.
113.



$722, $850, $978

115.

Answers will vary.

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.

Answers will vary.

201.

Answers will vary.

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.

ⓐ 350350ⓑ rise=3;run=50rise=3;run=50

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

Answers will vary.

275.

Answers will vary.

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.

Answers will vary.

293.

Answers will vary.

295.
  1. ⓐ yes ⓑ yes
  2. ⓐ no ⓑ no
  3. ⓐ yes ⓑ yes
  4. ⓐ 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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