1. Properties of Real Numbers

2. Two expressions that have the same value for all allowable replacements are called equivalent.

3. x + x

4. x + x and 2x

5. x + x and 2x are equivalent expressions.

15. The Identity Property of 0

16. The Identity Property of 0
For any real number a,

17. The Identity Property of 0
For any real number a,

18. The Identity Property of 0
For any real number a,

19. The Identity Property of 0
For any real number a,

20. The Identity Property of 0
For any real number a,
(The number 0 is the additive identity)

21. The Identity Property of 0
For any real number a,
(The number 0 is the additive identity)

22. The Identity Property of 1

23. The Identity Property of 1
For any real number a,

24. The Identity Property of 1
For any real number a,

25. The Identity Property of 1
For any real number a,

26. The Identity Property of 1
For any real number a,

27. The Identity Property of 1
For any real number a,
(The number 1 is the multiplicative identity)

28. The Identity Property of 1
For any real number a,
(The number 1 is the multiplicative identity)

29. Write a fraction equivalent to 2/3 with a denominator of 3x.

30. Write a fraction equivalent to 2/3 with a denominator of 3x.

31. Write a fraction equivalent to 2/3 with a denominator of 3x.

32. Write a fraction equivalent to 2/3 with a denominator of 3x.

33. Write a fraction equivalent to 2/3 with a denominator of 3x.

34. Write a fraction equivalent to 2/3 with a denominator of 3x.

35. Write a fraction equivalent to 2/3 with a denominator of 3x.

36. Simplify

37. Simplify

38. Simplify

39. Simplify

40. Simplify

41. Simplify

42. Simplify

43. Simplify

44. Simplify

45. Simplify

46. Simplify

47. Simplify

48. Simplify

49. Simplify

50. Simplify

51. Simplify

52. Simplify

53. Simplify

54. Simplify

55. Simplify

56. Simplify

57. Simplify

58. Simplify

59. Simplify

60. Simplify

61. The Commutative Law

62. The Commutative Law
Evaluate

63. The Commutative Law
Evaluate

64. The Commutative Law
Evaluate

65. The Commutative Law
Evaluate

66. The Commutative Law
Evaluate

67. The Commutative Law
Evaluate

68. The Commutative Law
Evaluate

69. The Commutative Law
Evaluate

70. The Commutative Law
Evaluate

71. The Commutative Law
Evaluate

72. The Commutative Law
Evaluate

73. The Commutative Law
Evaluate

74. The Commutative Law
Evaluate

75. Evaluate x + y and y + x

76. Evaluate x + y and y + x
when x = 23

77. Evaluate x + y and y + x
when x = 23 and y = -12

78. Evaluate x + y and y + x
when x = 23 and y = -12

79. Evaluate x + y and y + x
when x = 23 and y = -12

80. Evaluate x + y and y + x
when x = 23 and y = -12

81. Evaluate x + y and y + x
when x = 23 and y = -12

82. Evaluate x + y and y + x
when x = 23 and y = -12

83. Evaluate x + y and y + x
when x = 23 and y = -12

84. Evaluate x + y and y + x
when x = 23 and y = -12

85. Evaluate x + y and y + x
when x = 23 and y = -12

86. Evaluate x + y and y + x
when x = 23 and y = -12

87. Evaluate x + y and y + x
when x = 23 and y = -12

88. The commutative law for addition

89. The commutative law for addition
For any numbers a and b,

90. The commutative law for addition
For any numbers a and b,
a + b

91. The commutative law for addition
For any numbers a and b,
a + b = b + a

92. The commutative law for addition
For any numbers a and b,
a + b = b + a
The commutative law for multiplication

93. The commutative law for addition
For any numbers a and b,
a + b = b + a
The commutative law for multiplication ab

94. The commutative law for addition
For any numbers a and b,
a + b = b + a
The commutative law for multiplication
ab = ba

95. Use the commutative laws to write an expression equivalent to

96. Use the commutative laws to write an expression equivalent to

97. Use the commutative laws to write an expression equivalent to

98. Use the commutative laws to write an expression equivalent to

99. Use the commutative laws to write an expression equivalent to

100. Use the commutative laws to write an expression equivalent to

101. Use the commutative laws to write an expression equivalent to
Commutative law of addition

102. Use the commutative laws to write an expression equivalent to
Commutative law of addition

103. Use the commutative laws to write an expression equivalent to
Commutative law of addition

104. Use the commutative laws to write an expression equivalent to
Commutative law of addition
Commutative law of multiplication

105. Use the commutative laws to write an expression equivalent to
Commutative law of addition
Commutative law of multiplication

106. Use the commutative laws to write an expression equivalent to
Commutative law of addition
Commutative law of multiplication

107. The Associative Laws

108. The Associative Laws
Calculate and compare

109. The Associative Laws
Calculate and compare

110. The Associative Laws
Calculate and compare

111. The Associative Laws
Calculate and compare

112. The Associative Laws
Calculate and compare

113. The Associative Laws
Calculate and compare

114. The Associative Laws
Calculate and compare

115. The Associative Laws
Calculate and compare

116. The Associative Laws
Calculate and compare

117. The Associative Laws
Calculate and compare

118. The Associative Laws

119. The Associative Laws
Calculate and compare

120. The Associative Laws
Calculate and compare

121. The Associative Laws
Calculate and compare

122. The Associative Laws
Calculate and compare

123. The Associative Laws
Calculate and compare

124. The Associative Laws
Calculate and compare

125. The Associative Laws
Calculate and compare

126. The Associative Laws
Calculate and compare

127. The Associative Laws
Calculate and compare

128. The Associative Laws
Calculate and compare

129. The associative law of addition
For any numbers a, b, and c,

130. The associative law of addition
For any numbers a, b, and c,

131. The associative law of addition
For any numbers a, b, and c,
The associative law of multiplication

132. The associative law of addition
For any numbers a, b, and c,
The associative law of multiplication

133. Use the associative law to write an expression equivalent to

134. Use the associative law to write an expression equivalent to

135. Use the associative law to write an expression equivalent to

136. Use the associative law to write an expression equivalent to

137. Use the associative law to write an expression equivalent to

138. Use the commutative and associative laws to write at least 3 expressions that are equivalent to

139. Use the commutative and associative laws to write at least 3 expressions that are equivalent to

140. Use the commutative and associative laws to write at least 3 expressions that are equivalent to

141. Use the commutative and associative laws to write at least 3 expressions that are equivalent to

142. Use the commutative and associative laws to write at least 3 expressions that are equivalent to

143. Use the commutative and associative laws to write at least 3 expressions that are equivalent to

144. Use the commutative and associative laws to write at least 3 expressions that are equivalent to

145. Use the commutative and associative laws to write at least 3 expressions that are equivalent to

146. Use the commutative and associative laws to write at least 3 expressions that are equivalent to

147. Use the commutative and associative laws to write at least 3 expressions that are equivalent to

148. Use the commutative and associative laws to write at least 3 expressions that are equivalent to

149. Use the commutative and associative laws to write at least 3 expressions that are equivalent to

150. Use the commutative and associative laws to write at least 3 expressions that are equivalent to

151. Use the commutative and associative laws to write at least 3 expressions that are equivalent to

152. Use the commutative and associative laws to write at least 3 expressions that are equivalent to

153. Use the commutative and associative laws to write at least 3 expressions that are equivalent to

154. Compute in two ways:

155. Compute in two ways:

156. Compute in two ways:

157. Compute in two ways:

158. Compute in two ways:

159. Compute in two ways:

160. Compute in two ways:

161. Compute in two ways:

162. Compute in two ways:

163. The distributive law of Multiplication over Addition
For any numbers a, b, and c

164. The distributive law of Multiplication over Addition
For any numbers a, b, and c
a(b + c)

165. The distributive law of Multiplication over Addition
For any numbers a, b, and c
a(b + c) = ab

166. The distributive law of Multiplication over Addition
For any numbers a, b, and c
a(b + c) = ab + ac

167. The distributive law of Multiplication over Subtraction
For any numbers a, b, and c

168. The distributive law of Multiplication over Subtraction
For any numbers a, b, and c
a(b - c)

169. The distributive law of Multiplication over Subtraction
For any numbers a, b, and c
a(b - c) = ab

170. The distributive law of Multiplication over Subtraction
For any numbers a, b, and c
a(b - c) = ab - ac

171. What are the terms of
3x – 4y + 2z

172. What are the terms of
3x – 4y + 2z

173. What are the terms of
3x – 4y + 2z

174. What are the terms of
3x – 4y + 2z

175. Multiply

176. Multiply

177. Multiply

178. Multiply

179. Multiply

180. Multiply

181. Multiply

182. Multiply

183. Multiply

184. Multiply

185. Multiply

186. Multiply

187. Multiply

188. Multiply

189. Multiply

190. Multiply

191. Multiply

192. Multiply

193. Multiply

194. Multiply

195. Multiply

196. Multiply

197. Multiply

198. Multiply

199. Multiply

200. Multiply

201. Multiply

202. Multiply

203. Multiply

204. Multiply

205. Multiply

206. Multiply

207. Multiply

208. Multiply

209. Multiply

210. Name the property

211. Name the property

212. Name the property

213. Name the property

214. Name the property

215. Name the property

216. Name the property

217. Name the property

218. Name the property

219. Name the property

220. Name the property

221. Name the property

222. Name the property

223. Name the property

224. Factoring
To factor an expression is to find an equivalent expression that is a product.

225. Factor

226. Factor

227. Factor

228. Factor

229. Factor

230. Factor

231. Factor

232. Factor

233. Factor

234. Factor

235. Factor

236. Factor

237. Factor

238. Factor

239. Factor

240. Factor

241. Factor

242. Factor

243. Factor

244. Factor

245. Factor

246. Factor

247. Factor

248. Factor

249. Factor

250. Factor

251. Factor

252. Factor

253. Factor

254. Factor

255. Factor

256. Factor

257. Factor

258. Factor

259. Factor

260. Factor

261. Factor

262. Factor

263. Factor

264. Factor

265. Factor

266. Factor

267. Factor

268. Factor

269. Factor

270. Factor

271. Factor

272. Factor

273. Factor

274. Factor

275. Factor

276. Factor

277. Factor

278. Factor

279. Factor

280. Factor

281. Factor

282. Factor

283. Factor

284. Factor

285. Factor

286. Factor

287. Factor

288. Factor

289. Factor

290. Factor

291. Factor

292. Factor

293. Factor

294. Factor

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296. Factor

297. Factor

298. Factor

299. Factor

300. Factor

301. Factor

302. Factor

303. Factor

304. Factor

305. Factor

306. Factor

307. Factor

308. Factor

309. Factor

310. Factor

311. Factor

312. Factor

313. Factor

314. Factor

315. Factor

316. Factor

317. Factor

318. Factor

319. Factor

320. Factor

321. Factor

322. Factor

323. Factor

324. Factor

325. Factor

326. Factor

327. Factor

328. Factor

329. Collect like terms

330. Collect like terms

331. Collect like terms

332. Collect like terms

333. Collect like terms

334. Collect like terms

335. Collect like terms

336. Collect like terms

337. Collect like terms

338. Collect like terms

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340. Collect like terms

341. Collect like terms

342. Collect like terms

343. Collect like terms

344. Collect like terms

345. Collect like terms

346. Collect like terms

347. Collect like terms

348. Collect like terms

349. Collect like terms

350. Collect like terms

351. Collect like terms

352. Collect like terms

353. Collect like terms

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355. Collect like terms

356. Collect like terms

357. Collect like terms

358. Collect like terms

359. Collect like terms

360. Collect like terms

361. Collect like terms

362. Collect like terms

363. Collect like terms

364. Collect like terms

365. Collect like terms

366. Collect like terms

367. Collect like terms

368. Collect like terms

369. Collect like terms

370. Collect like terms

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374. Collect like terms

375. Collect like terms

376. Collect like terms

377. Collect like terms

378. Collect like terms

379. Collect like terms

380. Collect like terms

381. Collect like terms

382. Collect like terms

383. Collect like terms

384. Collect like terms

385. Collect like terms

386. Collect like terms

387. Collect like terms

388. Collect like terms

389. Collect like terms

390. Collect like terms

391. Collect like terms

392. 1.7 Numbers