English Precalculus Algebra 1 Worked Examples 1. The Parts of Speech

2. Nouns - Words Used as Names

3. Common Nouns

4. Proper Nouns

5. Countable Nouns and Uncountable Nouns

6. Singular Nouns and Plural Nouns

7. Collective Nouns

8. Abstract Nouns

9. Gender Nouns

10. Compound Nouns

11. Possessive Nouns

12. Pronouns – Substitutes for Nouns

13. Personal Pronouns - subject and object pronouns

14. Reflexive Pronouns - -self, -selves

15. Possessive Pronouns - his, hers, mine, ours, theirs

16. Relative Pronouns - who, which, that, whose

17. Interrogative Pronouns - who, what, which, where, whose, whom, how

18. Demonstrative Pronouns- this, these, that, those

19. Indefinite Pronouns - one, none, all, some, nobody, somebody, any, anyone

20. Verbs – Action Verbs, Linking Verbs and Auxiliary Verbs

21. The Verb "Be" - Present Tense, Past Tense, Present Perfect Tense

22. Simple Present Tense

23. Simple Past Tense - Regular Verbs

24. Simple Past Tense - Irregular Verbs

25. Simple Future Tense

26. Past Participle

27. Present Perfect Tense

28. Past Perfect Tense

29. Future Perfect Tense

30. Present Participle

31. Present Continuous Tense

32. Past Continuous Tense

33. Future Continuous Tense

34. Present Perfect Continuous Tense

35. Past Perfect Continuous Tense

36. Future Perfect Continuous Tense

37. Summary of Verb Tenses

38. Modal Verbs

39. Modal Verbs Examples - can, could, must, may, might, should, will, would, and ought to.

40. Adjectives

41. Comparative Adjectives

42. Superlative Adjectives

43. Articles - a, an, the

44. Demonstrative Adjectives

45. Adverbs

46. Prepositions – Words That Show a Relationship

47. Conjunctions – Connecting Words

48. Interjections – Exclamatory Words

49. Parts of Speech 1

50. Parts of Speech 2

51. Subordinate Conjunctions

52. Conjunctive Adverbs

53. Using the Semicolon

54. Commonly Misspelled Words 55. The Parts of Sentence - Learn how to recognise what a sentence is and how its parts fit together to communicate a complete thought. 56. Subject and Predicate – Complete Subject and Complete Predicate, Simple Subject and Simple Predicate, Compound Subject and Compound Predicate

57. How to Find the Subject of a Sentence?

58. Sentence Fragments - How to recognise and avoid sentence fragments?

59. Types of Sentences - Declarative, Imperative, Interrogative and Exclamatory.

60. Sentence Patterns - Normal Order and Inverted Order

61. Sentence Diagramming

62. Sentence Diagramming: Subject and Predicate

63. Noun and Verb Phrase Exercises

64. Sentence Diagramming: Noun and Verb Phrase

65. Sentence Diagramming: Compound Subject and Predicate I

66. Sentence Diagramming: Compound Subject and Predicate II

67. Sentence Diagramming: Subject and Predicate in Compound Sentence

68. Sentence Diagramming: Prepositional Phrase

69. Sentence Diagramming: Direct and Indirect Object

70. Sentence Diagramming: Predicate Nominative

71. Sentence Diagramming: Appositive Phrase I

72. Sentence Diagramming: Appositive Phrase II

73. Verbal Phrases

74. Sentence Diagramming: Gerund Phrase

75. Sentence Diagramming: Infinitive Phrase I

76. Sentence Diagramming: Infinitive Phrase II

77. Sentence Diagramming: Participial Phrase

Precalculus 78. Introduction to Limits

79. Limit Examples (part 1)

80. Limit Examples (part 2)

81. Limit Examples (part3)

82. Limit Examples w/ brain malfunction on first prob (part 4)

83. Squeeze Theorem

84. Proof: lim (sin x)/x

85. More Limits

86. Sequences and Series (part 1)

87. Sequences and series (part 2)

88. Permutations

89. Combinations

90. Binomial Theorem (part 1)

91. Binomial Theorem (part 2)

92. Binomial Theorem (part 3)

93. Introduction to interest

94. Interest (part 2)

95. Introduction to compound interest and e

96. Compound Interest and e (part 2)

97. Compound Interest and e (part 3)

98. Compound Interest and e (part 4)

99. Exponential Growth

100. Polar Coordinates 1

101. Polar Coordinates 2

102. Polar Coordinates 3

103. Parametric Equations 1

104. Parametric Equations 2

105. Parametric Equations 3

106. Parametric Equations 4

107. Introduction to Function Inverses

108. Function Inverse Example 1

109. Function Inverses Example 2

110. Function Inverses Example 3

111. Basic Complex Analysis

112. Exponential form to find complex roots

113. Complex Conjugates

114. Series Sum Example

115. Complex Determinant Example

116. 2003 AIME II Problem 8 117. Solving Equations 1

118. Solving Equations 2

119. Solving Equations with the Distributive Property

120. Solving equations with the distributive property 2

121. Algebraic Word Problem

122. Sum of Consecutive Odd Integers

123. Example of Solving for a Variable

124. Solving for a Variable 2

125. Absolute Value 1

126. Absolute Value and Number Lines

127. Absolute Value Equations 1

128. Absolute Value Equation Example 2

129. Patterns in Sequences 1

130. Patterns in Sequences 2

131. Equations of Sequence Patterns

132. Finding the 100th Term in a Sequence

133. Functional Relationships 1

134. Testing if a relationship is a function

135. Domain and Range 1

136. Domain and Range 2

137. Direct Variation 1

138. Basic Rate Problem

139. Basic Linear Function

140. Exploring linear relationships

141. Recognizing Linear Functions

142. Exploring nonlinear relationships

143. Slope of a line

144. Slope Example

145. X and Y intercepts

146. X and Y intercepts 2

147. Graphing a line in slope intercept form

148. Equation of a line

149. Converting to slope-intercept form

150. Point-slope and standard form

151. Parallel Lines

152. Parallel Lines 2

153. Parallel lines 3

154. Perpendicular Lines

155. Perpendicular lines 2

156. Interpreting Inequalities

157. Solving Inequalities

158. Inequalities

159. Absolute value inequalities

160. Absolute Inequalities 2

161. Absolute value inequalities 3

162. Writing and using inequalities

163. Writing and using inequalities 2

164. Writing and using inequalities 3

165. Solving and graphing linear inequalities in two variables

166. Graphing linear inequalities in two variables

167. Graphing linear inequalities in two variables

168. Solving systems by graphing

169. Solving systems by graphing 2

170. Solving systems by graphing 3

171. Solving systems by substitution 1

172. Solving systems by substitution 2

173. Solving systems by substitution 3

174. Solving systems by elimination

175. Solving systems by elimination 2

176. Solving systems by elimination 3

177. Systems and rate problems

178. Systems and rate problems 2

179. Systems and rate problems 3

180. Mixture problems 1

181. Mixture problems 2

182. Mixture problems 3

183. Graphing systems of inequalities

184. Graphing systems of inequalities 2

185. Graphing systems of inequalities 3

186. Exponent Rules 1

187. Exponent Rules 2

188. Exponent Rules 3

189. Scientific notation 1

190. Scientific notation 2

191. Scientific notation 3

192. Simplifying Expressions with Exponents

193. Simplifying Expressions with Exponents 2

194. Simplifying Expressions with Exponents 3

195. Pythagorean Theorem 1

196. Pythagorean Theorem 2

197. Pythagorean Theorem 3

198. Simplifying Radical Expressions1

199. Simplifying Radical Expressions 2

200. Simplifying Radical Expressions 3

201. Solving Radical Equations 1

202. Solving Radical Equations 2

203. Solving Radical Equations 3

204. Applying Radical Equations 1

205. Applying Radical Equations 2

206. Applying Radical Equations 3

207. Fractional Exponent Expressions 1

208. Fractional Exponent Expressions 2

209. Fractional Exponent Expressions 3

210. Multiplying and Dividing Monomials 1

211. Multiplying and Dividing Monomials 2

212. Multiplying and Dividing Monomials 3

213. Polynomials1

214. Polynomials 2

215. Adding and Subtracting Polynomials 1

216. Adding and Subtracting Polynomials 2

217. Adding and Subtracting Polynomials 3

218. Multiplying Polynomials1

219. Multiplying Polynomials 2

220. Multiplying Polynomials 3

221. Special Products of Polynomials 1

222. Special Products of Polynomials 2

223. U08_L2_T4_we3 Special Products of Polynomials 3

224. Bay Area CBS Station with Salman Khan

225. Factoring and the Distributive Property

226. Factoring and the Distributive Property 2

227. Factoring and the Distributive Property 3

228. Factoring Trinomials by Grouping 1

229. Factoring Trinomials by Grouping 2

230. U09_L1_T2_we3 Factoring Trinomials by Grouping 3

231. Factoring Trinomials by Grouping 4

232. Factoring Trinomials by Grouping 5

233. Factoring Trinomials by Grouping 6

234. U09_L2_T1_we1 Factoring Special Products 1

235. Factoring Special Products 2

236. U09_L2_T1_we3 Factoring Special Products 3

237. Solving Quadratic Equations by Factoring.avi

238. Solving Quadratic Equations by Factoring 2.avi

239. Solving Quadratic Equations by Factoring 3.avi

240. Quadratic Functions 1

241. Quadratic Functions 2

242. Quadratic Functions 3

243. Completing the Square 1

244. Completing the Square 2

245. Completing the Square 3

246. Completing the Square 4

247. Quadratic Formula 1

248. Quadratic Formula 2

249. Quadratic Formula 3

250. Applying Quadratic Functions 1

251. Applying Quadratic Functions 2

252. Applying Quadratic Functions 3

253. Non-Linear Systems of Equations 1

254. Non-Linear Systems of Equations 2

255. Non-Linear Systems of Equations 3

256. Simplifying Rational Expressions 1

257. Simplifying Rational Expressions 2

258. Simplifying Rational Expressions 3

259. Multiplying and Dividing Rational Expressions 1

260. Multiplying and Dividing Rational Expressions 2

261. Multiplying and Dividing Rational Expressions 3

262. Adding and Subtracting Rational Expressions 1

263. Adding and Subtracting Rational Expressions 2

264. Adding and Subtracting Rational Expressions 3

265. Solving Rational Equations 1

266. Solving Rational Equations 2

267. Solving Rational Equations 3

268. Applying Rational Equations 1

269. Applying Rational Equations 2

270. Applying Rational Equations 3

271. Number Sets 1

272. Number Sets 2

273. Number Sets 3

274. Understanding Logical Statements 1

275. Understanding Logical Statements 2

276. Understanding Logical Statements 3

277. Understanding Logical Statements 4

278. Understanding Logical Statements Commentary

279. U12_L1_T3_we1 Inductive Reasoning 1

280. Inductive Reasoning 2

281. Inductive Reasoning 3

282. Deductive Reasoning 1

283. Deductive Reasoning 2

284. Deductive Reasoning 3

285. Events and Outcomes 1

286. Events and Outcomes 2

287. Events and Outcomes 3

288. U12_L2_T2_we1 Independent Events 1

289. Independent Events 2

290. Independent Events 3

291. Permutations and Combinations 1

292. Permutations and Combinations 2

293. Permutations and Combinations 3

294. Permutations and Combinations 4

295. Probability of Dependent Events

296. Probability of Dependent Events 2

297. U02_L2_T2_we1 Absolute Value Equations.avi

298. U06_L3_T1_we3 Graphing Systems of Inequalities

299. U06_L1_T1_we1 Solving Systems by Graphing

300. U05_L2_T1_WE2 Graphing Linear Inequalities in Two Variables

301. U03_L2_T1_we2 Representing Functions as Graphs

302. U03_L1_T1_we2 Inductive Patterns

303. Brain Teasers

304. Random logic puzzles and brain teasers. Fun to do and useful for many job interviews!

305. Liar Truthteller Brain Teaser

306. Toggler Brain Teaser

307. Alien Abduction Brain Teaser

308. Brain Teaser: Blue Forehead Room

309. Blue Forehead Room Solution

310. Forehead Numbers Brain Teaser

311. Light Bulb Switching Brain Teaser

312. Path Counting Brain Teaser

313. 3-D Path Counting Brain Teaser

314. Use of Biological Resources

315. Food Production

316. How glasshouses and polythene tunnels can be used to increase the yield of certain crops

317. The effects on crop yield of increased carbon dioxide and increased

318. temperature in glasshouses

319. The use of fertiliser to increase crop yield

320. The role of bacteria (Lactobacillus) in the production of yoghurt

321. Industrial fermenter

322. Fish Farming

323. Selective Breeding

324. Genetic Modification