Skip to main content
Library homepage
 

Text Color

Text Size

 

Margin Size

 

Font Type

Enable Dyslexic Font
Mathematics LibreTexts

12.4.8: Chapter 8

( \newcommand{\kernel}{\mathrm{null}\,}\)

Be Prepared

8.1

2828

8.2

x5x5

8.3

yes

8.4

11

8.5

8383

8.6

2525

8.7

4y4y

8.8

44

8.9

2121

8.10

33

8.11

1212

8.12

478478

Try It

8.1

no

8.2

no

8.3

x = −16

8.4

x = −20

8.5

n = −1

8.6

x = −4

8.7

p=76p=76

8.8

q=23q=23

8.9

b = 6.4

8.10

c = 14

8.11

y = 15

8.12

z = 2

8.13

p = 5

8.14

q = −16

8.15

h = −1

8.16

x = 1

8.17

x + 11 = 41; x = 30

8.18

y − 12 = 51; y = 63

8.19

4x − 3x = 14; x = 14

8.20

7a − 6a = −8; a = −8

8.21

a + 6 = 13; Athena weighs 7 pounds.

8.22

26 + h = 68; Henry has 42 books.

8.23

19,875 = s − 1025; the sticker price is $20,900.

8.24

7.75 = n − 3.25; the price at night is $11.00.

8.25

y = −16

8.26

z = −13

8.27

b = 144

8.28

c = 128

8.29

k = −8

8.30

g = −3

8.31

n = 35

8.32

y = 18

8.33

x = 2

8.34

n = −5

8.35

c = −3

8.36

x=47x=47

8.37

n = −6

8.38

n = −5

8.39

x = −4

8.40

a = −8

8.41

y = 5

8.42

m = 9

8.43

n = 10

8.44

c = 1

8.45

p = −7

8.46

m = −3

8.47

j = 2

8.48

h = 1

8.49

x = −1

8.50

y = 4

8.51

q = 1

8.52

n = 1

8.53

a = −5

8.54

k = −6

8.55

x = 10

8.56

y = −3

8.57

x = −5

8.58

y = −5

8.59

x = 4

8.60

y = 1

8.61

y = −6

8.62

z = 8

8.63

a = 2

8.64

n = 2

8.65

j=53j=53

8.66

k=52k=52

8.67

p = −2

8.68

q = −8

8.69

u = 2

8.70

x = 4

8.71

n = 1

8.72

m = −1

8.73

x=12x=12

8.74

y = 3

8.75

v = 40

8.76

u = −12

8.77

a = −2

8.78

c = −2

8.79

p = −4

8.80

q = 2

8.81

n = 2

8.82

m = −1

8.83

x = 20

8.84

x = 10

8.85

h = 12

8.86

k = −1

8.87

n = 9

8.88

d = 16

Section 8.1 Exercises

1.

yes

3.

no

5.

x = 5

7.

b=12b=12

9.

p = −11.7

11.

a = 10

13.

x=73x=73

15.

y = 13.8

17.

x = −27

19.

q=14q=14

21.

y=2720y=2720

23.

m = 17

25.

x = 8

27.

n = −20

29.

y = 2

31.

w = −1.7

33.

x = −2

35.

m = −4

37.

k = 6

39.

c = −41

41.

y = 28

43.

x + (−5) = 33; x = 38

45.

y − 3 = −19; y = −16

47.

p + 8 = 52; p = 44

49.

5c − 4c = 60; c = 60

51.

f13=112;f=512f13=112;f=512

53.

−9m + 10m = −25; m = −25

55.

Let p equal the number of pages read in the Psychology book. 41 + p = 54. Jeff read 13 pages in his Psychology book.

57.

Let d equal the daughter’s age. d = 12 − 5. Eva’s daughter’s age is 7 years old.

59.

21 pounds

61.

100.5 degrees

63.

$121.19

65.

d=1324d=1324

67.

Answers will vary.

Section 8.2 Exercises

69.

p = 9

71.

x = 3

73.

y = −6

75.

m = 7

77.

a = 15

79.

x = 0

81.

z = 28

83.

c = 36

85.

q = −48

87.

p = 80

89.

r = 25

91.

x = −32

93.

q=52q=52

95.

y = −1

97.

m = −5

99.

t=52t=52

101.

q = 24

103.

p = 56

105.

6 children

107.

$1.08

109.

42 yards

111.

Answer will vary.

Section 8.3 Exercises

113.

x = 6

115.

y = 6

117.

m = −8

119.

b = −8

121.

x = −4

123.

q = −2

125.

k = −11

127.

x = 9

129.

b = −3

131.

z = 3

133.

x=34x=34

135.

r = −2

137.

x = 19

139.

f = 7

141.

q = −5

143.

c = −4

145.

x = 2

147.

y = 4

149.

m = −6

151.

a = 7

153.

a = −40

155.

p = 15

157.

z = 3.46

159.

w = 60

161.

x = 23

163.

y = 9

165.

x = 6

167.

y = 3

169.

n = −2

171.

p = −1

173.

x = 5

175.

v = 1

177.

m = 0.25

179.

t = −9

181.

b = 2

183.

m = 6

185.

k=32k=32

187.

r = 3

189.

y = −4

191.

n = 2

193.

x = 34

195.

s = 10

197.

x=12x=12

199.

30 feet

201.

8 nickels

203.

Answers will vary.

205.

Answers will vary.

207.

Answers will vary.

Section 8.4 Exercises

209.

x = −1

211.

y = −1

213.

a=34a=34

215.

x = 4

217.

m = 20

219.

x = −3

221.

w=94w=94

223.

x = 1

225.

b = 12

227.

x = 1

229.

p = −41

231.

x=52x=52

233.

y = 10

235.

j = 2

237.

x = 18

239.

x = 18

241.

x = 20

243.

n = 9

245.

d = 8

247.

q = 11

249.

d = 18

251.

Answers will vary.

253.

Answers will vary.

Review Exercises

255.

yes

257.

no

259.

12

261.

a=43a=43

263.

u = 17

265.

c=1211c=1211

267.

n = 44

269.

f=103f=103

271.

y = 4

273.

n = −8

275.

−6 + m = 25; m = 31

277.

s = 11 − 3; 8 years old

279.

c − 46.25 = 9.75; $56.00

281.

x = 9

283.

p = 21

285.

n = 108

287.

x = 48

289.

m = 4

291.

x = 15

293.

r = 3

295.

p = 5

297.

x = −22

299.

y = −13

301.

k = −5

303.

x = 6

305.

u = −7

307.

x = −2

309.

s = −22

311.

y = 12

313.

r = 38

315.

y = 26

317.

n = 2

319.

a=143a=143

321.

x = 5

323.

p = −20

Practice Test

325.
  1. yes
  2. no
327.

c = 16

329.

x = −5

331.

x = 9

333.

y = 4

335.

m = 6

337.

d = −32

339.

x = −2

341.

p=23p=23

343.

2x − 4 = 16; x = 10


12.4.8: Chapter 8 is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by LibreTexts.

  • Was this article helpful?

Support Center

How can we help?