Domain and Range

Class Work

Find the domain and range for each of the following

1. {(1,2), (3,4), (5,6)}

2. {(4,3), (3,2), (4,2)}

3. {(5,1), (3,1), (-4,1)}

4. 5. 6.

7. 8. 9.

10. 11.

12. 13.

Homework

Find the domain and range for each of the following

14. {(3,1), (-2,6), (1,4)}

15. {(1,2), (2,2), (1,2)}

16. {(2,1), (5,1), (-6,7)}

17. 18. 19.

20. 21. 22.

23. 24.

25. 26.

Discrete vs. Continuous

Class Work

Is the relation discrete or continuous?

47. {(1,2), (3,4), (5,6)}

48. {(4,3), (3,2), (4,2)}

49. {(5,1), (3,1), (-4,1)}

50. 51. 52.

53. 54. 55.

56. 57.

58. 59.

Homework

Is the relation discrete or continuous?

60. {(3,1), (-2,6), (1,4)}

61. {(1,2), (2,2), (1,2)}

62. {(2,1), (5,1), (-6,7)}

63. 64. 65.

66. 67. 68.

69. 70.

71. 72.

Relations and Functions

Class Work

Is the relation a function?

73. {(1,2), (3,4), (5,6)}

74. {(4,3), (3,2), (4,2)}

75. {(5,1), (3,1), (-4,1)}

76. 77. 78.

79. 80. 81.

82. 83.

84. 85.

Homework

Is the relation a function?

86. {(3,1), (-2,6), (1,4)}

87. {(1,2), (2,2), (1,2)}

88. {(2,1), (5,1), (-6,7)}

89. 90. 91.

92. 93. 94.

95. 96.

97. 98.

Evaluating Functions

Class Work

Let f(x)= 3x+4 and g(x)= |x-4|, find the following

99. f(2)

100. f(3)

101. g(6)

102. g(2)

103. 2f(6)

104. .5g(2)

105. f(4) – g(3)

106. g(5) – f(5)

107. f(0)2

108. g(3)3

109. g(a)

110. f(2b)

Class Work

Let f(x)= (x-1)2 and g(x)= |2x-3|, find the following

111. f(2)

112. f(3)

113. g(6)

114. g(2)

115. 2f(6)

116. .5g(2)

117. f(4) – g(3)

118. g(5) – f(5)

119. f(0)2

120. g(3)3

121. g(a)

122. f(2b)

Graphing Linear Equations Chapter Problems

Graph using a table

Classwork

For the equations below, make a table with at least 3 ordered pairs, plot the points and connect them to

form the line.

123. y = 3x – 4

124. y = -2x + 4

125. y = x – 3

126. y = 1

2x + 4

127. y = - 2

3x + 1

Homework

For the equations below, make a table with at least 3 ordered pairs, plot the points and connect them to

form the line.

128. y = -x – 2

129. y = 2x + 1

130. y = 1

4x

131. y = -2x – 2

132. y = - 1

3x + 4

Graph using the slope and y-intercept

Classwork

133. Use lines A, B, C and D to answers the questions.

a. What is the y-intercept of each line?

b. Is the slope of each line positive, negative, zero or undefined?

134. What is the slope of lines E, F, G and H?

135. What are the equations of lines E, F ,G and H?

Homework

136. Use lines I, J, K and L to answers the questions.

a. What is the y-intercept of each line?

b. Is the slope of each line positive, negative, zero or undefined?

137. What are the slopes of lines M, N, O and P?

138. What is the equation of lines M, N, O and P?

Graph using intercepts

Classwork

Rewrite the equations in standard form. Graph the intercepts and then the line that passes through them.

139. y = 3x + 4

140. y = -2x + 3

141. y = x + 7

142. y = 2

5x – 2

143. y = - 3x

144. y = - 2

3x + 5

145. y – 4 = 2(x – 5)

146. y + 5 = -3(x – 4)

147. y + 6 = 1

4(x – 6)

148. y – 3 = (x + 7)

Homework

Rewrite the equations in standard form. Graph the intercepts and then the line that passes through them.

149. y = 6x + 4

150. y = -3x – 2

151. y = 1

6x – 3

152. y = x + 4

153. y = - 2

7x – 2

154. y = -7x

155. y – 5 = 2(x – 3)

156. y + 2 = -4(x – 2)

157. y – 3 = 3

7(x – 3)

158. y + 1 = 2(x + 1)

Horizontal & Vertical Lines

Classwork

Determine if the following equations are horizontal, vertical, neither or cannot be determined.

159. y = -5

160. x = 7

161. 2x + 4y = 8

162. 7x – 21 = 0

163. 3x + 2y = 3x – 4

Homework

Determine if the following equations are horizontal, vertical, neither or cannot be determined.

164. x = -5

165. y = 7

166. 8x + -4y = -2

167. -6x – 3y = -6x + 2

168. -8x = -24

Slope Formula

Classwork

Find the slope of the line through each of the following two points.

169. (-12,-5), (0,-8)

170. (12,-18),(11,12)

171. (-18,-20),(-18,-15)

172. (-20,-4),(-12,-10)

173. (8,10),(0,14)

174. (6,9),(3,-9)

175. (1,2),(5,7)

176. (3,-3),(12,-2)

177. (-4,-8),(-1,1)

178. (4,7),(-3,7)

Homework

Find the slope of the line through each of the following two points.

179. (3,-9),(1,1)

180. (7,4),(3,8)

181. (-3,0),(5,12)

182. (8,-2),(12,-2)

183. (6,-3),(2,9)

184. (-3,7),(-4,8)

185. (5,9),(5,-8)

186. (-5, 0.5),(-6,3)

187. (-7,1),(7,8)

188. (-2,1),(5,7)

Parallel and Perpendicular Lines

Classwork

Match the following parallel equations from each column.

189. y = 3x – 2

190. y = -2x + 1

191. y = 1

3x – 7

192. 6x – 2 = 7y

193. 2(y + x) = 18

194. 3y = x + 18

195. -4x + 17 = 2y

196. 7y – 6x = 0

197. -5(3y – 9x) = 30

198. 14y = 12x + 28

Match the following perpendicular equations from each column.

199. y = -4x – 4

200. 2y = 3x + 12

201. 7x + y = -10

202. y – 5 = 1

2(x + 4)

203. 3(4y + 8x) = 0

204. y + 3 = -2(x – 5)

205. 4y = x – 4

206. 2x = 14y -8

207. y + 4 = 1

2(x – 4)

208. 2x + 3y = 15

209. Write an equation that would be parallel to the line y = 4x + 7

210. Write an equation that would be perpendicular to the line 4x + 6y = -12

Homework

Match the following parallel equations from each column.

211. y = 3x+ 7

212. 4y = 16x + 12

213. 6x + 12y = 1

214. y – 4 = 4

5(x – 11)

215. 0 = 22x – 11y

216. 24x – 6y = 18

217. y + 5 = 2(x – 13)

218. 2y + x = 24

219. 3(15y – 12x) = 27

220. -12x = -4y – 16

Match the following perpendicular equations from each column.

221. 6y = -12x + 9

222. y – 4 = 1

5(x + 7)

223. 5(2x – 8y) = 35

224. 35x – 5y = 0

225. 19 + y = -3x

226. y – 9 = -4(x – 2)

227. 3x + 21y = 0

228. 8(14y – 7x) = 24

229. y = -5x + 5

230. -10x + 30y + 20 = 0

231. Write an equation that would be parallel to the line 6y = -24y – 18

232. Write an equation that would be perpendicular to the line y – 4 = 2

5(x + 4)

Graph using point slope

Classwork

Graph each equation

233. y – 2 = (x – 3)

234. y + 5 = 2(x + 2)

235. y – 4 = -3(x – 3)

236. y + 7 = 1

2(x – 1)

237. y – 3 = - 3

4(x + 5)

Homework

Graph each equation

238. y – 2 = (x + 4)

239. y + 5 = -2(x – 4)

240. y – 1 = 4(x – 2)

241. y – 5 = - 1

3(x – 1)

242. y – 0 = 1

5(x – 3)

How to write equations from given information

Classwork

243. Write an equation in point slope form for the line through the given point with the given slope.

a. (3,4); m = 6

b. (-2,-7); m = - 3

2

c. (7,-4); m = -3

d. (4,0); m = 1

e. (-4,-4); m = 1

3

244. A line passes through the given points. First write an equation for the line in point-slope form.

Then rewrite the equation in slope-intercept form.

a. (-1,0), (1,2)

b. (3,5), (0,0)

c. (6,-2), (9,-8)

d. (-1,-5), (-7,-6)

e. (-3,4), (3,-2)

245. Write the equation of the line through the given points in standard form.

a. (6,3), (-4, 2)

b. (12,3), (-8,-4)

c. (15,-4), (8, -3)

d. (7,2), (8,5)

e. (20,-10), (-30, 0)

246. A line has an x-intercept of 8 and y-intercept of 12.

a. Write an equation for the line.

b. Write an equation that is parallel to this line.

c. Write an equation that is perpendicular to the line from part a.

247. Write the equation of the line through (-3,-2) and is parallel to the line y = -2x + 5

248. Write the equation of the line through (7,4) and perpendicular to y = 1

2x – 5

Homework

249. Write an equation in point slope form for the line through the given point with the given slope.

a. (5,-4); m = -2

b. (-2, -3); m = 4

c. (7,4); m = 1

4

d. (9,-9); m = 3

e. (6,0); m = - 2

3

250. A line passes through the given points. First write an equation for the line in point-slope form.

Then rewrite the equation in slope-intercept form.

a. (-10,-50), (5,25)

b. (0,10), (10,-20)

c. (0.5,9), (50,-90)

d. (8,9), (5,-6)

e. (-7, 4), (-3,6)

251. Write the equation of the line through the given points in standard form.

a. (1,4), (-1,1)

b. (5,-3), (3,4)

c. (2,4), (-3,-6)

d. (5,3), (4,5)

e. (0,0), (-1,-2)

252. A line has an x-intercept of -4 and y-intercept of 16.

a. Write an equation for the line.

b. Write an equation that is parallel to this line.

c. Write an equation that is perpendicular to the line from part a.

253. Write the equation of the line through (8,5) and is parallel to the line y = x + 7

254. Write the equation of the line through (-2,5) and perpendicular to y = - 2

3x + 3

Scatter Plots and Lines of Best Fit

Classwork

255. Predict the test score of someone who spends 48 minutes studying.

256 Predict the test score of someone who spends 34 minutes studying.

257. Draw a scatter plot from the following data:

Size of shoe Height (inches)

5 55 5.5 58 6 62 7 68 6.5 63

7.3 70

8 79

8.7 88

60

65

70

75

80

85

90

95

100

105

110

25 30 35 40 45 50 55 60

Time spent studying

test

sco

res

60

65

70

75

80

85

90

95

100

105

110

25 30 35 40 45 50 55 60

Time spent studying

test

sco

res

258. Consider the scatter graph to answer the following:

Which two points would give the line of best fit?

A and B

A and C

D and B

There is no pattern

259.Consider the scatter graph to answer the following:

Which two points would give the line of best fit?

A and B

B and C

C and D

There is no pattern

Homework

260. Using the scatter graph, predict the mile time of someone who spends 6 hours a week training.

5:55

7:07

8:19

9:31

10:43

11:55

0 5 10 15 20 25

Time spent training

Mil

e t

ime

261. Using the scatter graph, predict the mile time of someone who spends 12 hours a week training.

262. Draw a scatter graph from the following data,

Time spent studying (min) Grade

55 97 31 78 52 90 20 61 42 84 47 90 31 81

263. Consider the scatter graph to answer the following:

Which point would most likely be on the line best fit?

A

B

C

There would be no line of best fit

264. Consider the scatter graph to answer the following:

Which two points would give the line of best fit?

A and D

A and C

B and D

There is no pattern

5:55

7:07

8:19

9:31

10:43

11:55

0 5 10 15 20 25

Time spent training

Mil

e t

ime

9, 1

7.5, 3.75.3, 4.2

4, 5.4

3.4, 7

3, 8.1

2, 9.2

0

1

2

3

4

5

6

7

8

9

10

0 1 2 3 4 5 6 7 8 9 10

0

1

2

3

4

5

6

7

8

9

10

0 1 2 3 4 5 6 7 8 9 10

Determining the Prediction Equation

Class Work

265. Use the two points (7,14) and (15,27)

to write an equation for the line of best fit.

266. If the prediction equation is y=.5t+60, where

t represents time in minutes, what will the person get on his test if he studies for 45 minutes?

267. If the prediction equation to determine a test grade is y=.5t+60, and someone received an 80 on the

test, how long did they study for?

Consider the scatter graph to answer 268-270:

268. What is the slope of the line of best fit that

passes through (3.4, 7) and (8, 3)?

269. What is the y-intercept of the line of best fit that

passes through (3.4, 7) and (8, 3)?

270. Consider the scatter graph to answer the

following: The equation for the line of best fit is

y = -1.06x + 10.7. Determine the value for x=15?

Is this an interpolation or extrapolation?

Homework

271. Using the scatter graph below use the two

points (3.4, 7) and (9, 1) to write an equation for

the line of best fit.

272. If the prediction equation for a test grade is y=.52t+65, where t represents the time in minutes, what

grade will someone earn if they study for 30 minutes.

273. If the prediction equation for a test grade is y=.52t+65, where t represents the time in minutes, how

long did someone study for if they received an 83 on the exam?

Consider the scatter graph to answer 274-276:

274. What is the slope of the line of best fit passing

through (2.7, 11.1) and (9.4, 3.7)?

275. What is the y-intercept of the line of best fit

passing through (2.7, 11.1) and (9.4, 3.7)?

276. Consider the scatter graph. The equation for the line of best fit is y= -.98x+13.6. Determine the value

for x=5. Is this an interpolation or extrapolation?

Absolute Value Functions

Class Work

On a separate sheet of paper, graph the following. Sate the domain and range of each.

277. y = |x|

278. y =|x + 3|

279. y = |x – 2|

280. y = |x + 4|

281. y = |x – 3|

282. y = |x| + 3

283. y = |x| - 2

284. y = |x| + 4

285. y = |x| - 3

286. y = |x - 6| - 2

287. y = |x + 4| +3

288. y =-|x|

289. y= 3|x|

290. y = -2|x+4| +3

291. y = .5|x – 6| -2

Homework

On a separate sheet of paper, graph the following. Sate the domain and range of each.

292. y =|x - 3|

293. y = |x + 2|

294. y = |x - 4|

295. y = |x + 3|

296. y = |x| - 3

297. y = |x| + 2

298. y = |x| - 4

299. y = |x| + 3

300. y = |x + 6| + 2

301. y = |x - 4| - 3

302. y =|-x|

303. y= -3|x|

304. y = 2|x - 4| - 3

305. y = -.5|x + 6| + 2

Greatest Integer Function

Class Work

Evaluate the following.

306. [2.2]

307. [3.5]

308. [5.9]

309. [7.98]

310. [8]

311. [-3.9]

312. [-3.4]

313. [0]

314. [3.2 +4.5]

315. [6.1 – 6.7]

On a separate sheet of paper graph

316. y = [x + 1]

317. f(x)= 2[x]

318. g(x)=-[x]

319. h(x)= [x] -3

Homework

Evaluate the following.

320. [3.4]

321. [3.8]

322. [7.95]

323. [9.98]

324. [10]

325. [-3.8]

326. [-2.3]

327. [0.1]

328. [3(2.1)]

329. [-2(4.2)]

On a separate sheet of paper graph

330. y = [x - 1]

331. f(x)= 3[x]

332. g(x)=[-x]

333. h(x)= [x] + 3

Piecewise Functions

Class Work

334.

a. f(-2)

b. f(0)

c. f(4)

d. state the domain and range of f

e. graph f

335.

a. f(-2)

b. f(2)

c. f(4)

d. state the domain and range of f

e. graph f

336.

a. f(-2)

b. f(1)

c. f(4)

d. state the domain and range of f

e. graph f

337.

a. f(-2)

b. f(0)

c. f(4)

d. state the domain and range of f

e. graph f

338.

a. f(-2)

b. f(2)

c. f(4)

d. state the domain and range of f

e. graph

Homework

339.

a. f(-2)

b. f(0)

c. f(4)

d. state the domain and range of f

e. graph f

340.

a. f(-2)

b. f(2)

c. f(4)

d. state the domain and range of f

e. graph f

341.

a. f(-2)

b. f(1)

c. f(4)

d. state the domain and range of f

e. graph f

342.

a. f(-2)

b. f(0)

c. f(4)

d. state the domain and range of f

e. graph f

343.

a. f(-2)

b. f(2)

c. f(4)

d. state the domain and range of f

e. graph

Graphing Linear Inequalities

Class Work

Graph the following inequalities

344. 𝑦 > 2𝑥 + 1

345. 𝑦 ≤ 3𝑥 + 2

346. 𝑦 ≥ −1

2𝑥 − 4

347. 𝑦 <3

4𝑥

348. 2𝑥 − 3𝑦 > 6

349. 5𝑥 + 4𝑦 ≤ 10

Write the equation for the inequality graphed.

350. 351.

Class Work

Graph the following inequalities

352. 𝑦 > 3𝑥 − 4

353. 𝑦 ≤ 𝑥 + 1

354. 𝑦 ≥1

2𝑥 − 2

355. 𝑦 <3

2𝑥 + 3

356. 4𝑥 − 𝑦 > 5

357. 5𝑥 + 2𝑦 ≤ 11

Write the equation for the inequality graphed.

358. 359.

Linear Relations- Multiple Choice

1. Find the domain of {(1,3), (5,6), (6,8)} A. {1, 5, 8} B. {1, 5, 6} C. {3, 6, 8} D. Set of Reals 2. Find the range of f(x)= |x - 2| +3 A. [3, ∞] B. [1, ∞) C.(1, ∞) D. [3, ∞) 3. What is domain of the following graph? A. {x| -10< x< 10} B. {x| -10< x< 10} C. {x| -6< x< -2 or 0< x< 6} D. {x| -10< x< -4 or -2< x< 4 or 6< x< 10} 4. Which choice represents a discrete set? A. the time it takes people to tie their shoes B. amount of rain in a given week C. number of people attending a play D. the number of rotations of a wheel 5. Which of the following is a function? A. x2 + y2 = 4 B. x + y2 = 4 C. x2 + y = 4 D. 4x2 + y2 = 4 6. Given f(x) = 2(x-6)2 +2, find f(3) A. 2 B. 20 C. 29 D. 38

7. The x-intercept of 4x + 3y = 12 is

A. 4

B. (4,0)

C. 3

D. (3,0)

8. The slope of 4x + 3y = 12 is

A. 4

B. -4

C. 4

3

D. −4

3

9. The equation of the line containing the points in the table is

A. y= x + 3

B. y= 2x + 3

C. y= 1

2x + 3

D. Points in table are not collinear

10. A line parallel to y = 2x + 6 is

A. y= 2x -1

B. y-4 = 2(x+3)

C. 10x – 5y = 7

D. All of the above

11. The slope of a line perpendicular to the line thru (3,6) and (5,2) is

A. -2

B. −1

2

C. 1

2

D. 2

12. An example of a line with no slope is

A. y = x

B. y = 3

C. x = 2

D. y = 0 – x

13. A line thru (3,-2) and (4,6) has equation

A. y – 6 = 8(x – 4)

B. y – 6 = 4(x – 4)

C. y + 2 = 8(x + 3)

D. Both A and C

14. The equation of a line perpendicular to f(x) is

A. y= -2x +4

B. y= 2x + 5

C. y= −1

2x – 3

D. y= 1

2x

15. Using the graph of f(x), find f(6).

A. -1

B. -2

C. -3

D. Undefined

X Y

0 3

2 5

3 7

In 16 and 17, consider the piecewise function

16. Find g(3)

A. -9

B. 1

C. -9 or 1

D. Does not exist

17. The slope at x=1 is

A. -3

B. -1

C. 1

D. 0

18. Find [3.75]

A. 3

B. 3.7

C. 3.8

D. 4

19. Find [-4.14]

A. -5

B. -4.2

C. -4.1

D. -4

20. When graphing y > 2x -3

A. solid boundary and shade above

B. dotted boundary and shade above

C. solid boundary and shade below

D. dotted boundary and shade below

21. Which point could be used as a test point to decide where to shade when graphing y > 4x?

A. (0 ,0)

B. (-2 ,-8)

C. ( 3 , 10)

D. both B and C

Extended Response

1. An employer offers $12 an hour for the first eight hours of work and 1.5 times that rate for overtime.

a. Create a piecewise function that models this situation.

b. Make a graph of the equation in part A (Let the domain be [0,15])

c. How much does a person make if they work 10 hours?

d. If a raise of $2 was given, describe how the piecewise function would change.

2. Cal C.’s grandmother offers him $5 for every A he receives on his report card.

a. If he takes 8 classes, what are the domain and range?

b. Is the answer in part A discrete or continuous? Is it a function?

c. If his grandfather gives him $10 for finishing the marking period, write an equation for how

much he can make with one report card.

3. Line segment 𝐴𝐵̅̅ ̅̅ connects A(4,2) and B(7,6).

a. What is the slope of 𝐴𝐵̅̅ ̅̅ ?

b. AB̅̅ ̅̅ is the side of a rectangle, what are the slopes of the other three sides.

c. Write the equation of 𝐴𝐵 ⃡ .

4. Given y - 3 = 1

2(x – 8)

a. Write the equation in slope y-intercept form

b. Write the equation in standard form

c. The line is rotated 90° about the point (8,3), what is the equation of the new line?

Answers

1) D:{1,3,5} R:{2,4,6} 2) D:{3,4} R:{2,3} 3) D:{-4, 3,5} R:{1} 4) D:{-3,1,2} R:{2,5,7} 5) D:{4,5,6} R:{6} 6) D:{-4,0,2} R:{3,4,5} 7) D:{-2,-1,2,3} R:{0,3,4,5,7} 8) D:{1,2} R:{3,4,5,6} 9) D:{-4,0,1,2,3} R:{5,6,7} 10) D:{-4,-2,1,3} R:{0,3,4,5,7} 11) D:{x>-4} R:{y>0} 12) D:{x<-2 or x>2} R:{Reals} 13) D:{Reals} R:{Reals} 14) D:{-2,1,3} R:{1,4,6} 15) D:{1,2} R:{2} 16) D:{-6,2,5} R:{1,7} 17) D:{-1,0,1} R:{6,7,8} 18) D:{2,4} R:{6,7,8} 19) D:{-5,0,5} R:{-2,-1,0} 20) D:{3,4,5,6} R:{1,2,3,4} 21) D:{5} R:{0,1,2,3} 22) D:{3,4} R:{2,3,4} 23) D:{-4,-2,2,4,5} R:{-3,2,4,5} 24) D:{-6<x<6} R:{-6<y<6} 25) D:{-6<x<0 } R:{-6,-2,2,4} 26) D:{Reals} R:{2} 47) D 48) D 49) D 50) D 51) D 52) D 53) D 54) D 55) D 56) D 57) C 58) C 59) C 60) D 61) D 62) D

63) D 64) D 65) D 66) D 67) D 68) D 69) D 70) C 71) C 72) C 73) yes 74) yes 75) yes 76) yes 77) yes 78) no 79) no 80) no 81) yes 82) no 83) yes 84) yes 85) yes 86) yes 87) no 88) yes 89) yes 90) no 91) no 92) yes 93) no 94) no 95) yes 96) no 97) yes 98) yes 99) 10 100) 13 101) 2 102) 2 103) 44 104) 1

105) 15 106) 18 107) 16 108) 1 109) |a-4| 110) 6b+4 111) 1 112) 4 113) 9 114) 1 115) 50 116) .5 117) 6 118) 9 119) 1 120) 27 121) |2a-3| 122) (2b-1)2 = 4b2-4b+1 123) (0, -4), (4/3, 0), (1, -1) 124) (0, 4), (2, 0), (1, 2) 125) (0, -3), (3, 0), (1, -2) 126) (0, 4), (-8, 0), (1, 4.5) 127) (0, 1), (3/2, 0), (1, 1/3) 128) (0, -2), (-2, 0), (1, -3) 129) (0, 1), (-.5, 0), (1, 3) 130) (0, 0), (1, ¼), (2, ½) 131) (0, -2), (-1, 0), (2, -6) 132) (0, 4), (12, 0), (1, 11/3) 133)

a. A(0, 0), B(0, 6), C(0, -5), D(0, -2)

b. A: negative, B: positive, C: positive, D: zero

134) E: -1/2, F: -2, G: undefined, H: 1 135) E: -(x/2)+1, F: -2x+4, G: x=8, H: x-7 136)

a. I(0, 8), J(0, 2), K(0, -1), L(0, -8) b. I: zero, J: negative, K: positive,

L: positive 137) M: -1, N: 3/2, O: 1, P: -1/3 138) M: -x+5, N: (3x)/2, O: y=-4, P: -(x/3)-6

139) -3x + y = 4

140. 2x + y = 3

141. –x + y = 7

142. –(2/5)x + y = 0

143. 3x + y = 0

144. (2/3)x + y = 5

145. -2x + y = -6

146. 3x + y = 7

147. –(x/4) + y = -(15/2)

148. –x + y = 10

149. -6x + y = 4

150. 3x + y = -2

151. –(1/6)x + y = -3

152. –x + y = 4

153. (2/7)x + y = -2

154. 7x + y = 0

155. -2x + y = 2

156. 4x + y = 6

157. –(3/7)x + y = 12/7

158. -2x + y = 1

159. Horizontal 160. Vertical 161. Neither 162. Vertical 163. Horizontal 164. Vertical 165. Horizontal 166. Neither 167. Horizontal 168. Vertical 169. ¼ 170. -30 171. Undefined 172. -3/4 173. -1/2 174. 6 175. 5/4 176. 1/9 177. 3 178. 0 179. -1/5 180. -1 181. 3/2 182. 0 183. -3 184. -1 185. Undefined 186. -5/2 187. ½ 188. 6/7 189. 197

190. 195 191. 194 192. 198 193. 196 199. 205 200. 208 201. 206 202. 204 203. 207 209. Multiple Answers ex: y = 4x + 2 210. Multiple Answers ex: y = (6/4)x + 2 211. 220 212. 216 213. 218 214. 219 215. 217 221. 228 222. 229 223. 226 224. 227 225. 230 231. y = 1 232. y = -(5/2)x + 4 233.

234.

235.

236.

237.

238.

239.

240.

241.

242.

243. a. y-4=6(x-3) b. y+7=-(3/2)(x+2) c. y+4=-3(x-7) d. y=x-4 e. y+4=(1/3)(x+4)

244. a. y-1=x-2, y=x-1 b. y-5=(5/3)(x-3), y=(5/3)x c. y+8=-2(x-9), y=-2x+10 d. y+6=(1/6)(x+7), y=(1/6)x-(29/6) e. y+2=-1(x-3), y=-x+1

245. a. –(x/10)+y=(12/5) b. –(7/20)x+y=-(6/5) c. (x/7)+y=-(13/7) d. -3x+y=-19 e. (x/5)+y=14

246. a. y=-(3/2)x+12 b. y=-(3/2)x c. y=(2/3)x+1

247. y=-2x+4 248. y=-2x+18 249.

a. y+4=-2(x-5) b. y+3=4(x+2) c. y-4=(1/4)(x-7) d. y+9=3(x-9) e. y=-(2/3)(x-6)

250. a. y+50=5(x+10), y=5x b. y-10=-3x, y=-3x+10 c. y-9=-2(x-.5), y=-2x+10 d. y-9=5(x-8), y=5x-31 e. y-4=.5(x+7), y=.5x+(15/2)

251. a. –(3/2)x+y=-.5 b. (7/2)x+y=14.5 c. -2x+y=0 d. 2x+y=13 e. -2x+y=0

252. a. y=4x+16 b. y=4x+4 c. y=-(1/4)x+4

253. y=x-3 254. y=(3/2)x+8 255. ~80 256. ~75 257.

258. A and C 259. no pattern 260. ~7: 45 261. ~7 𝑚𝑖𝑛𝑢𝑡𝑒𝑠 262. 263. A 264. B and D

265. 𝑦 =13

8𝑥 +

21

8

266. 82.5 267. 40 minutes 268. -.4 269. 6.2 270. -5.2; extrapolated

271. −15

14

272. 80.6 273. ~35 𝑚𝑖𝑛𝑢𝑡𝑒𝑠

274. −1.10

275. 14.1 276. 8.7; interpolated 277. 278. 279. 280. 281. 282. 283. 284. 285. 286.

287. 288. 289. 290. 291. 292. 293. 294. 295. 296. 297. 298. 299. 300. 301. 302. 303. 304. 305.

306. 2 307. 3 308. 5 309. 7 310. 8 311. -4 312. -4 313. 0 314. 7 315. -1 316. 317. 318. 319. 320. 3 321. 3 322. 7 323. 9 324. 10 325. -4 326. -3 327. 0 328. 6 329. -9 330. 331. 332. 333. 334. a. 0 e. b. 0 c. -4 d. D:Reals; R:(−∞, 2) 335. a.4 e. b.4 c.12 d.D: Reals; R:{−2 ∪ (6, ∞)} 336. a. 2 e. b. 1 c. 4 d. D: Reals; R:[0, ∞)

337. a. -2 e. b. 0 c. 4 d. D: Reals; R:{𝑛𝑒𝑔 𝐼𝑛𝑡𝑒𝑔𝑒𝑟𝑠 ∪ [0, ∞)} 338. a. -5 e. b. 3 c. -4 d. D: Reals; R:{(−∞, −1) ∪ 3} 339. a. -5 e. b. 0 c. 4 d. D: Reals; R:{(−∞, −1) ∪ [0, ∞)} 340. a. -2 e. b. -2 c. -4 d. D: Reals; R:(−∞, −2] 341. a. 1 e. b. 2 c. 2 d. D: Reals; R:[0, ∞) 342. a. 0 e. b. 2 c. -4 d. D: Reals; R:{(−∞, 0] ∪ 1} 343. a. 4 e. b. 2 c. 4 d. D: Reals; R :[0, ∞) 344. 345. 346. 347. 348. 349.

350. 𝑦 < 3𝑥 − 1

351. 𝑦 ≥1

2𝑥 − 3

352. 353. 354. 355. 356. 357. 358. 𝑦 > 1

359. 𝑦 ≤ −1

4𝑥 + 2