Solving Systems of Linear Equations Review Worksheet Ch 3 Variables

Be Prepared

3.six

$-\mathrm{v};-5;\mathrm{five}$

3.9

$y=-2x+1$

iii.fourteen

$\mathrm{ii}{a}^{\mathrm{ii}}-a-\mathrm{three}$

Effort It

3.3

ⓐ yes, yeah ⓑ aye, yes

3.thirteen

x-intercept: $\left(2,0\right),$
y-intercept: $\left(0,\mathrm{-2}\right)$

3.14

x-intercept: $\left(\mathrm{iii},0\right),$
y-intercept: $\left(0,2\right)$

3.fifteen

x-intercept: $\left(4,0\right),$
y-intercept: $\left(0,12\right)$

iii.16

x-intercept: $\left(8,0\right),$
y-intercept: $\left(0,2\right)$

3.31

ⓐ $m=\frac{2}{5};\left(0,\mathrm{-1}\right)$
ⓑ $k=-\frac{\mathrm{ane}}{\mathrm{iv}};\left(0,2\right)$

3.32

ⓐ $m=-\frac{\mathrm{iv}}{3};\left(0,\mathrm{i}\right)$
ⓑ $\mathrm{grand}=-\frac{\mathrm{three}}{2};\left(0,6\right)$

3.35

ⓐ intercepts ⓑ horizontal line ⓒ slope-intercept ⓓ vertical line

iii.36

ⓐ vertical line ⓑ slope-intercept ⓒ horizontal line
ⓓ intercepts

3.37

ⓐ l inches
ⓑ 66 inches
ⓒ The gradient, ii, means that the height, h, increases by two inches when the shoe size, s, increases by 1. The h-intercept means that when the shoe size is 0, the acme is 50 inches.
ⓓ

three.38

ⓐ xl degrees
ⓑ 65 degrees
ⓒ The slope, $\frac{1}{\mathrm{four}},$ means that the temperature Fahrenheit (F) increases 1 caste when the number of chirps, n, increases by iv. The T-intercept means that when the number of chirps is 0, the temperature is xl°.
ⓓ

3.39

ⓐ $25
ⓑ $85
ⓒ The slope, 4, means that the weekly cost, C, increases by $four when the number of pizzas sold, p, increases by 1. The C-intercept means that when the number of pizzas sold is 0, the weekly cost is $25.
ⓓ

3.xl

ⓐ $35
ⓑ $170
ⓒ The slope, $1.8,$ ways that the weekly toll, C, increases by $\text{\$}\mathrm{i.80}$ when the number of invitations, north, increases past 1.
The C-intercept means that when the number of invitations is 0, the weekly price is $35.
ⓓ

3.41

ⓐ parallel ⓑ not parallel; same line

3.42

ⓐ parallel ⓑ non parallel; same line

3.43

ⓐ parallel ⓑ parallel

iii.44

ⓐ parallel ⓑ parallel

3.45

ⓐ perpendicular ⓑ not perpendicular

iii.46

ⓐ perpendicular ⓑ non perpendicular

iii.47

$y=\frac{2}{5}\mathrm{10}+4$

3.48

$y=\text{−}x-3$

three.49

$y=\frac{\mathrm{three}}{5}x+1$

iii.50

$y=\frac{\mathrm{four}}{\mathrm{three}}\mathrm{10}-5$

3.51

$y=-\frac{2}{5}x-1$

3.52

$y=-\frac{3}{4}x-\mathrm{four}$

3.55

$y=\frac{\mathrm{one}}{3}x-\frac{10}{\mathrm{iii}}$

3.56

$y=-\frac{2}{5}x-\frac{23}{5}$

iii.59

$y=3x-\mathrm{ten}$

3.60

$y=\frac{\mathrm{one}}{2}\mathrm{10}+\mathrm{ane}$

3.61

$y=-\frac{1}{\mathrm{iii}}x+\frac{10}{3}$

iii.62

$y=\mathrm{-ii}\mathrm{ten}+\mathrm{sixteen}$

3.67

ⓐ yeah ⓑ yes ⓒ aye ⓓ yep ⓔ no

three.68

ⓐ yeah ⓑ aye ⓒ no ⓓ no
ⓔ yes

3.69

$y\ge \mathrm{-2}\mathrm{10}+3$

3.70

$y\le \frac{1}{2}x-\mathrm{iv}$

3.71

$x-4y\le 8$

3.72

$3x-y\ge \mathrm{half-dozen}$

3.73

All points in the shaded region and on the boundary line, stand for the solutions to $y>\frac{\mathrm{v}}{\mathrm{ii}}x-4.$

iii.74

All points in the shaded region, simply not those on the boundary line, represent the solutions to $y<\frac{\mathrm{ii}}{3}x-5.$

three.75

All points in the shaded region, but non those on the boundary line, represent the solutions to $2x-3y<\mathrm{half\; dozen}.$

3.76

All points in the shaded region, just not those on the boundary line, stand for the solutions to $2x-y>3.$

3.77

All points in the shaded region, but not those on the boundary line, represent the solutions to $y>-\mathrm{three}x.$

iii.78

All points in the shaded region and on the boundary line, represent the solutions to $y\ge \mathrm{-ii}x.$

3.79

All points in the shaded region, but not those on the boundary line, represent the solutions to $y<\mathrm{five}.$

3.80

All points in the shaded region and on the boundary line represent the solutions to $y\le \mathrm{-ane}.$

iii.81

ⓐ $\mathrm{x}x+13y\ge 260$
ⓑ

ⓒ Answers will vary.

iii.82

ⓐ $10\mathrm{10}+17.5y\ge 280$
ⓑ

ⓒ Answers will vary.

3.83

ⓐ $\left\{1,2,3,\mathrm{four},5\right\}$
ⓑ $\left\{\mathrm{one},8,27,64,125\right\}$

three.84

ⓐ $\left\{1,\mathrm{two},3,4,\mathrm{five}\right\}$
ⓑ $\left\{3,6,9,12,\mathrm{xv}\right\}$

iii.85

ⓐ (Khanh Nguyen, kn68413), (Abigail Brown, ab56781), (Sumantha Mishal, sm32479), (Jose Hern and ez, jh47983) ⓑ {Khanh Nguyen, Abigail Chocolate-brown, Sumantha Mishal, Jose Hern and ez} ⓒ {kn68413, ab56781, sm32479, jh47983}

3.86

ⓐ (Maria, November 6), (Arm and o, January xviii), (Cynthia, December eight), (Kelly, March 15), (Rachel, November six) ⓑ {Maria, Arm and o, Cynthia, Kelly, Rachel} ⓒ {November 6, Jan eighteen, December eight, March 15}

three.87

ⓐ $\left(\mathrm{-3},3\right),\left(\mathrm{-2},2\right),\left(\mathrm{-1},0\right),$
$\left(0,\mathrm{-i}\right),\left(2,\mathrm{-two}\right),\left(\mathrm{four},\mathrm{-4}\right)$
ⓑ $\left\{\mathrm{-3},\mathrm{-2},\mathrm{-1},0,2,4\right\}$
ⓒ $\left\{3,2,0,\mathrm{-ane},\mathrm{-ii},\mathrm{-four}\right\}$

3.88

ⓐ $\left(\mathrm{-3},0\right),\left(\mathrm{-3},5\right),\left(\mathrm{-3},\mathrm{-6}\right),$
$\left(\mathrm{-1},\mathrm{-2}\right),\left(\mathrm{ane},\mathrm{two}\right),\left(4,\mathrm{-iv}\right)$
ⓑ $\left\{\mathrm{-three},\mathrm{-1},1,\mathrm{iv}\right\}$
ⓒ $\left\{\mathrm{-6},0,5,\mathrm{-ii},2,\mathrm{-iv}\right\}$

3.89

ⓐ Yes; $\left\{\mathrm{-three},\mathrm{-two},\mathrm{-i},0,\mathrm{ane},\mathrm{two},\mathrm{three}\right\};$
$\{\mathrm{-vi},\mathrm{-four},\mathrm{-2},0,\mathrm{ii},4,6\}$
ⓑ No; $\left\{0,\mathrm{two},\mathrm{four},8\right\};$
$\left\{\mathrm{-4},\mathrm{-two},\mathrm{-one},0,1,2,4\right\}$

3.90

ⓐ No; $\left\{0,\mathrm{i},8,27\right\};$
$\left\{\mathrm{-three},\mathrm{-2},\mathrm{-1},0,\mathrm{ii},\mathrm{ii},3\right\}$
ⓑ Aye; $\left\{7,\mathrm{-5},8,0,\mathrm{-vi},\mathrm{-ii},\mathrm{-1}\right\};$
$\left\{\mathrm{-3},\mathrm{-four},0,4,\mathrm{ii},3\right\}$

3.91

ⓐ no ⓑ {NBC, HGTV, HBO} ⓒ {Ellen Degeneres Show, Police and Order, Tonight Prove, Holding Brothers, Firm Hunters, Dearest it or List it, Game of Thrones, Truthful Detective, Sesame Street}

iii.92

ⓐ No ⓑ {Neal, Krystal, Kelvin, George, Christa, Mike} ⓒ {123-567-4839 work, 231-378-5941 cell, 743-469-9731 prison cell, 567-534-2970 work, 684-369-7231 cell, 798-367-8541 cell, 639-847-6971 jail cell}

3.95

ⓐ $f\left(\mathrm{three}\right)=22$ ⓑ $f\left(\mathrm{-1}\right)=\mathrm{vi}$ ⓒ $f(t)=\mathrm{iii}{t}^2-2t+1$

3.96

ⓐ $\left(2\right)=\mathrm{xiii}$ ⓑ $f\left(\mathrm{-3}\right)=3$
ⓒ $f(h)=2h^2+4h-3$

3.97

ⓐ $4m^2-7$ ⓑ $4x-\mathrm{nineteen}$
ⓒ $\mathrm{iv}x-12$

3.98

ⓐ $2k^{\mathrm{two}}+\mathrm{one}$ ⓑ $2\mathrm{ten}+\mathrm{three}$
ⓒ $\mathrm{ii}x+4$

three.99

ⓐ t IND; N DEP ⓑ 205; the number of unread emails in Bryan'southward account on the 7th day.

3.100

ⓐ t IND; North DEP ⓑ 460; the number of unread emails in Anthony's account on the fourteenth day

three.115

The domain is $\left[\mathrm{-5},\mathrm{ane}\right].$ The range is $\left[\mathrm{-4},\mathrm{ii}\right].$

iii.116

The domain is $\left[\mathrm{-2},4\right].$ The range is $\left[\mathrm{-5},3\right].$

three.117

ⓐ $f(0)=0$ ⓑ $f=\left(\frac{\pi }{2}\right)=2$ ⓒ $f=\left(\frac{\mathrm{-3}\pi }{\mathrm{ii}}\right)=\mathrm{ii}$ ⓓ $f(x)=0$ for $x=\mathrm{-ii}\pi ,\text{−}\pi ,0,\pi ,2\pi$ ⓔ $(\mathrm{-2}\pi ,0),(\text{−}\pi ,0),(0,0),(\pi ,0),(\mathrm{ii}\pi ,0)$ ⓕ $(0,0)$ ⓖ $\left(-\infty ,\infty \right)$ ⓗ $[\mathrm{-ii},2]$

three.118

ⓐ $f(0)=\mathrm{ane}$ ⓑ $f(\pi )=\mathrm{-1}$ ⓒ $f(\text{−}\pi )=\mathrm{-ane}$ ⓓ $f(\mathrm{ten})=0$ for $\mathrm{10}=-\frac{3\pi }{2},-\frac{\pi }{\mathrm{two}},\frac{\pi }{2},\frac{\mathrm{three}\pi }{\mathrm{two}}$ ⓔ $\left(-\frac{3\pi }{2},0\right),\left(-\frac{\pi }{2},0\right),\left(\frac{\pi }{2},0\right),\left(\frac{3\pi }{2},0\right)$ ⓕ $\left(0,1\right)$ ⓖ $\left(-\infty ,\infty \right)$ ⓗ $\left[\mathrm{-1},1\right]$

Section 3.1 Exercises

five .

ⓐ A: yes, B: no, C: yes, D: yep ⓑ A: yep, B: no, C: yes, D: yes

7 .

ⓐ A: yeah, B: yeah, C: yes, D: no ⓑ A: yes, B: yes, C: yes, D: no

33 .

$\left(3,0\right),\left(0,3\right)$

35 .

$\left(5,0\right),\left(0,\mathrm{-5}\right)$

37 .

$\left(5,0\right),\left(0,\mathrm{-5}\right)$

39 .

$\left(\mathrm{two},0\right),\left(0,6\right)$

41 .

$\left(\mathrm{ii},0\right),\left(0,\mathrm{-eight}\right)$

43 .

$\left(5,0\right),\left(0,2\right)$

Section iii.2 Exercises

101 .

$\mathrm{thou}=\mathrm{-7};\left(0,3\right)$

103 .

$m=\mathrm{-iii};\left(0,5\right)$

105 .

$m=-\frac{3}{\mathrm{ii}};\left(0,3\right)$

107 .

$\mathrm{grand}=\frac{\mathrm{v}}{2};\left(0,\mathrm{-3}\right)$

125 .

ⓐ $31
ⓑ $52
ⓒ The slope, $1.75,$ means that the payment, P, increases by $\text{\$}\mathrm{one.75}$ when the number of units of water used, west, increases by 1. The P-intercept ways that when the number units of h2o Tuyet used is 0, the payment is $31.
ⓓ

127 .

ⓐ $42
ⓑ $168.50
ⓒ The slope, 0.575 ways that the amount he is reimbursed, R, increases by $0.575 when the number of miles driven, g, increases by 1. The R-intercept means that when the number miles driven is 0, the amount reimbursed is $42.
ⓓ

129 .

ⓐ $400
ⓑ $940
ⓒ The gradient, $0.15,$ means that Cherie's salary, South, increases by $0.xv for every $i increment in her sales. The Southward-intercept means that when her sales are $0, her bacon is $400.
ⓓ

131 .

ⓐ $1570
ⓑ $2690
ⓒ The gradient gives the price per guest. The gradient, 28, ways that the cost, C, increases past $28 when the number of guests increases past 1. The C-intercept means that if the number of guests was 0, the cost would be $450.
ⓓ

Section iii.three Exercises

155 .

$y=3x+5$

157 .

$y=\mathrm{-three}x-1$

159 .

$y=\frac{1}{\mathrm{v}}x-5$

163 .

$y=3\mathrm{ten}-5$

165 .

$y=\frac{\mathrm{ane}}{2}x-\mathrm{iii}$

167 .

$y=-\frac{4}{\mathrm{iii}}\mathrm{10}+3$

171 .

$y=\frac{5}{8}\mathrm{10}-2$

173 .

$y=-\frac{3}{5}x+1$

175 .

$y=-\frac{\mathrm{three}}{2}x-9$

177 .

$y=\mathrm{-7}x-10$

183 .

$y=\text{−}x+\mathrm{viii}$

185 .

$y=\frac{1}{\mathrm{iv}}x-\frac{13}{4}$

187 .

$y=2\mathrm{10}+5$

189 .

$y=-\frac{7}{2}x+\mathrm{four}$

195 .

$y=4x-\mathrm{two}$

197 .

$y=2\mathrm{ten}-\mathrm{half\; dozen}$

203 .

$y=\frac{1}{2}x+1$

205 .

$y=-\frac{4}{3}x$

207 .

$y=-\frac{\mathrm{iii}}{\mathrm{ii}}\mathrm{ten}+\mathrm{v}$

209 .

$y=\frac{\mathrm{five}}{2}x$

219 .

$y=-\frac{1}{2}\mathrm{10}+\mathrm{v}$

221 .

$y=\frac{1}{\mathrm{half\; dozen}}x$

223 .

$y=-\frac{4}{3}x-3$

225 .

$y=-\frac{3}{\mathrm{iv}}x+\mathrm{ane}$

231 .

$y=-\frac{1}{\mathrm{five}}x-\frac{23}{\mathrm{five}}$

233 .

$y=\mathrm{-2}\mathrm{10}-2$

Department 3.4 Exercises

237 .

ⓐ yes ⓑ yes ⓒ no ⓓ no ⓔ no

239 .

ⓐ no ⓑ no ⓒ no ⓓ yes ⓔ no

241 .

ⓐ yes ⓑ no ⓒ no ⓓ aye ⓔ no

243 .

$y\le 3x-4$

245 .

$y\le \frac{\mathrm{i}}{2}x+1$

247 .

$\mathrm{10}+y\ge 5$

249 .

$3x-y\le 6$

277 .

ⓐ $11x+\mathrm{xvi.5}y\ge 330$
ⓑ

ⓒ Answers will vary.

279 .

ⓐ $15x+10y\ge 500$
ⓑ

ⓒ Answers volition vary.

Department 3.five Exercises

283 .

ⓐ {one, two, three, 4, v} ⓑ {4, eight, 12, 16, twenty}

285 .

ⓐ {one, 5, 7, −two} ⓑ {7, iii, 9, −three, 8}

287 .

ⓐ (Rebecca, January xviii), (Jennifer, April 1), (John, January xviii), (Hector, June 23), (Luis, February 15), (Ebony, April 7), (Raphael, November 6), (Meredith, August xix), (Karen, August 19), (Joseph, July 30)
ⓑ {Rebecca, Jennifer, John, Hector, Luis, Ebony, Raphael, Meredith, Karen, Joseph}
ⓒ {January 18, April 1, June 23, February 15, Apr 7, Nov half dozen, August xix, July 30}

289 .

ⓐ (+100, 17. ii), (110, xviii.9), (120, xx.6), (130, 22.3), (140, 24.0), (150, 25.7), (160, 27.five) ⓑ {+100, 110, 120, 130, 140, 150, 160,} ⓒ {17.2, xviii.nine, 20.6, 22.iii, 24.0, 25.7, 27.5}

291 .

ⓐ (2, iii), (4, −three), (−2, −ane), (−3, 4), (4, −ane), (0, −3) ⓑ {−iii, −2, 0, two, iv}
ⓒ {−3, −one, 3, 4}

293 .

ⓐ (1, 4), (ane, −4), (−i, iv), (−ane, −4), (0, iii), (0, −3) ⓑ {−one, 0, one} ⓒ {−iv, −3, 3,4}

295 .

ⓐ yes ⓑ {−3, −ii, −1, 0, one, 2, 3} ⓒ {nine, 4, 1, 0}

297 .

ⓐ yes ⓑ {−3, −2, −1, 0, 1, 2, 3} ⓒ 0, 1, 8, 27}

299 .

ⓐ yes ⓑ {−3, −two, −1, 0, 1, two, 3} ⓒ {0, 1, 2, 3}

301 .

ⓐ no ⓑ {Jenny, R and y, Dennis, Emily, Raul} ⓒ {RHern and ez@land.edu, JKim@gmail.com, Raul@gmail.com, ESmith@land.edu, DBroen@aol.com, jenny@aol.cvom, R and y@gmail.com}

307 .

ⓐ $f\left(\mathrm{two}\right)=7$ ⓑ $f\left(\mathrm{-1}\right)=\mathrm{-8}$ ⓒ $f\left(a\right)=5a-\mathrm{three}$

309 .

ⓐ $f\left(\mathrm{ii}\right)=\mathrm{-6}$ ⓑ $f\left(\mathrm{-1}\right)=\mathrm{half-dozen}$ ⓒ $f\left(a\right)=\mathrm{-4}a+2$

311 .

ⓐ $f\left(2\right)=5$ ⓑ $f\left(\mathrm{-i}\right)=5$
ⓒ $f(a)=a^{\mathrm{ii}}-a+\mathrm{three}$

313 .

ⓐ $f\left(2\right)=9$ ⓑ $f\left(\mathrm{-1}\right)=6$
ⓒ $f(a)=\mathrm{ii}{a}^{\mathrm{ii}}-a+\mathrm{three}$

315 .

ⓐ $g(h^{\mathrm{ii}})=2h^2+1$
ⓑ $g\left(\mathrm{ten}+\mathrm{ii}\right)=\mathrm{two}x+5$
ⓒ $g\left(\mathrm{10}\right)+\mathrm{one\; thousand}\left(2\right)=2\mathrm{ten}+6$

317 .

ⓐ $g(h^{\mathrm{two}})=\mathrm{-three}{h}^2-\mathrm{ii}$
ⓑ $\mathrm{grand}\left(\mathrm{ten}+2\right)=\mathrm{-3}\mathrm{ten}-\mathrm{eight}$
ⓒ $g\left(x\right)+\mathrm{one\; thousand}\left(\mathrm{two}\right)=\mathrm{-3}x-\mathrm{ten}$

319 .

ⓐ $g(h^2)=\mathrm{iii}-h^2$
ⓑ $g\left(x+2\right)=1-x$
ⓒ $k\left(x\right)+g\left(\mathrm{two}\right)=4-x$

329 .

ⓐ t IND; N DEP
ⓑ $N\left(4\right)=165$ the number of unwatched shows in Sylvia's DVR at the fourth week.

331 .

ⓐ x IND; C DEP
ⓑ $N\left(0\right)=1500$ the daily cost if no books are printed
ⓒ $N\left(\mathrm{grand}\right)=4750$ the daily cost of printing 1000 books

Section 3.half-dozen Exercises

341 .

ⓐ

ⓑ D:(-∞,∞), R:(-∞,∞)

343 .

ⓐ

ⓑ D:(-∞,∞), R:(-∞,∞)

345 .

ⓐ

ⓑ D:(-∞,∞), R:(-∞,∞)

347 .

ⓐ

ⓑ D:(-∞,∞), R:(-∞,∞)

349 .

ⓐ

ⓑ D:(-∞,∞), R:{5}

351 .

ⓐ

ⓑ D:(-∞,∞), R: $\left\{\mathrm{-3}\right\}$

353 .

ⓐ

ⓑ D:(-∞,∞), R:(-∞,∞)

355 .

ⓐ

ⓑ D:(-∞,∞), R:(-∞,∞)

357 .

ⓐ

ⓑ D:(-∞,∞), R:[0,∞)

359 .

ⓐ

ⓑ (-∞,∞), R:(-∞,0]

361 .

ⓐ

ⓑ (-∞,∞), R:[0,∞)

363 .

ⓐ

ⓑ (-∞,∞), R:[ $\mathrm{-1},$ ∞)

365 .

ⓐ

ⓑ D:(-∞,∞), R:(-∞,∞)

367 .

ⓐ

ⓑ D:(-∞,∞), R:(-∞,∞)

369 .

ⓐ

ⓑ D:[0,∞), R:[0,∞)

371 .

ⓐ

ⓑ D:[1,∞), R:[0,∞)

373 .

ⓐ

ⓑ $\text{D:}\left(-\infty ,\infty \right),\text{R}:[0,\infty )$

375 .

ⓐ

ⓑ D:(-∞,∞), R:[1,∞)

379 .

D: (-∞,∞), R: [four,∞)

381 .

D: $\left[\mathrm{-two},2\right],$ R: [0, ii]

383 .

ⓐ $f\left(0\right)=0$ ⓑ $f\left(\frac{\pi }{2}\right)=-1$
ⓒ $f\left(-\frac{\mathrm{iii}\pi }{\mathrm{ii}}\right)=-1$ ⓓ $f\left(\mathrm{ten}\right)=0$ for $\mathrm{ten}=\mathrm{-2}\pi ,\text{−}\pi ,0,\pi ,\mathrm{two}\pi$
ⓔ $\left(\mathrm{-ii}\pi ,0\right),\left(\text{−}\pi ,0\right),$ $\left(0,0\right),\left(\pi ,0\right),\left(\mathrm{ii}\pi ,0\right)$
ⓕ $\left(0,0\right)$ ⓖ $\left(-\infty ,\infty \right)$
ⓗ $\left[\mathrm{-1},\mathrm{i}\right]$

385 .

ⓐ $\mathrm{v}$ ⓑ $\mathrm{two}$ ⓒ $\mathrm{two}$ ⓓ $f\left(x\right)=0$ for no x ⓔ none ⓕ $\left(0,5\right)$ ⓖ $\left[\mathrm{-3},3\right]$
ⓗ $\left[\mathrm{ii},5\right]$

Review Exercises

407 .

$(0,\mathrm{three})(\mathrm{iii},0)$

409 .

$(\mathrm{vi},0),(0,\mathrm{iii})$

411 .

$(\mathrm{sixteen},0),(0,\mathrm{-12})$

435 .

$m=\frac{5}{3};\left(0,\mathrm{-six}\right)$

437 .

$k=\frac{4}{5};\left(0,-\frac{8}{\mathrm{five}}\right)$

449 .

ⓐ $\text{−}\text{\$}250$
ⓑ $450
ⓒ The gradient, 35, means that Marjorie's weekly profit, P, increases by $35 for each additional student lesson she teaches.
The P-intercept ways that when the number of lessons is 0, Marjorie loses $250.
ⓓ

455 .

$y=\mathrm{-v}\mathrm{10}-3$

459 .

$y=\mathrm{-3}x+5$

463 .

$y=\frac{3}{5}x$

465 .

$y=\mathrm{-2}\mathrm{ten}-\mathrm{v}$

467 .

$y=\frac{1}{\mathrm{two}}x-\frac{5}{2}$

471 .

$y=-\frac{\mathrm{two}}{5}x+8$

475 .

$y=-\frac{3}{\mathrm{ii}}x-6$

479 .

ⓐ yeah ⓑ no ⓒ yes ⓓ yes; ⓔ no

481 .

$y\ge \frac{2}{\mathrm{iii}}x-3$

483 .

$x-\mathrm{two}y\ge \mathrm{vi}$

491 .

ⓐ $20x+15y\ge 600$
ⓑ

ⓒ Answers will vary.

493 .

ⓐ D: {−iii, −2, −1, 0}
ⓑ R: {7, iii, 9, −3, eight}

495 .

ⓐ (4, 3), (−2, −iii), (−2, −1), (−3, i), (0, −ane), (0, iv),
ⓑ D: {−three, −2, 0, 4}
ⓒ R: {−3, −1, 1, 3, 4}

497 .

ⓐ yes ⓑ {−3, −2, −1, 0, ane, ii, three}
ⓒ {0, 1, 8, 27}

499 .

ⓐ yes
ⓑ {−three, −2, −one, 0, 1, 2, 3}
ⓒ {−243, −32, −1, 0, one, 32, 243}

505 .

ⓐ $f\left(\mathrm{-two}\right)=\mathrm{-10}$ ⓑ $f\left(\mathrm{iii}\right)=5$ ⓒ $f\left(a\right)=3a-\mathrm{iv}$

507 .

ⓐ $f\left(\mathrm{-2}\right)=20$ ⓑ $f\left(3\right)=0$ ⓒ $f(a)=a^{\mathrm{two}}-5a+\mathrm{vi}$

521 .

ⓐ

ⓑ D: (-∞,∞), R: (-∞,∞)

523 .

ⓐ

ⓑ D: (-∞,∞), R: (6)

525 .

ⓐ

ⓑ D: (-∞,∞), R: [0,∞)

527 .

ⓐ

ⓑ D: (-∞,∞), R: [2,∞)

529 .

ⓐ

ⓑ D: [ $\mathrm{-ii},$ ∞), R: [0,∞)

531 .

ⓐ

ⓑ D: (-∞,∞), R: [i,∞)

533 .

D: (-∞,∞), R: [2,∞)

535 .

ⓐ $f\left(x\right)=0$ ⓑ $f\left(\frac{\pi }{2}\right)=1$
ⓒ $f\left(-\frac{3\pi }{2}\right)=\mathrm{i}$ ⓓ $f\left(x\right)=0$ for $\mathrm{ten}=\mathrm{-2}\pi ,\text{−}\pi ,0,\pi ,2\pi$
ⓔ $\left(\mathrm{-2}\pi ,0\right),$ $\left(\text{−}\pi ,0\right),$ $\left(0,0\right),$ $\left(\pi ,0\right),$ $\left(\mathrm{ii}\pi ,0\right)$ ⓕ $\left(0,0\right)$
ⓖ $\left[-\infty ,\infty \right]$ ⓗ $\left[\mathrm{-1},\mathrm{one}\right]$

Practise Test

539 .

ⓐ $-\frac{3}{\mathrm{five}}$ ⓑ undefined

547 .

$y=2x+5$

549 .

$y=-\frac{4}{5}x-5$

555 .

ⓐ yep ⓑ $\left\{\mathrm{-three},\mathrm{-two},\mathrm{-1},0,1,2,3\right\}$ ⓒ {0, 1, 8, 27}

559 .

ⓐ

ⓑ D: (-∞,∞), R: [i,∞)

561 .

ⓐ $\mathrm{ten}=\mathrm{-2},2$ ⓑ $y=\mathrm{-iv}$
ⓒ $f\left(\mathrm{-1}\right)=\mathrm{-iii}$ ⓓ $f\left(\mathrm{i}\right)=\mathrm{-3}$
ⓔ D: (-∞,∞) ⓕ R: [ $\mathrm{-4},$ ∞)

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Source: https://openstax.org/books/intermediate-algebra-2e/pages/chapter-3

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