College Algebra & Trigonometry Explained by John Greene, M.A.

Release date:2023, February

Author:John Greene, M.A.

Skill level:Beginner

Language:English

Exercise files:Yes

002 – Classifying Real Numbers 005 – Optional Practice Test StepbyStep Solutions 006 – Optional Quiz StepbyStep Solutions 007 – Exponents and the Order of Operations PEMDAS 010 – Optional Practice Test StepbyStep Solutions 011 – Optional Quiz StepbyStep Solutions 012 – Ratios Rates and Proportions 015 – Optional Practice Test StepbyStep Solutions 016 – Optional Quiz StepbyStep Solutions 017 – Properties of Real Numbers 020 – Optional Practice Test StepbyStep Solutions 021 – Optional Quiz StepbyStep Solutions 022 – Optional Quiz StepbyStep Solutions 023 – Inequalities the Number Line and Interval Notation 026 – Optional Practice Test StepbyStep Solutions 027 – Optional Quiz StepbyStep Solutions 028 – Absolute Value and the Distance Between Two Points on a Number Line 031 – Optional Practice Test StepbyStep Solutions 032 – Optional Quiz StepbyStep Solutions 033 – Optional Quiz StepbyStep Solutions

034 – The Product and Power Rules for Exponents 037 – Optional Practice Test StepbyStep Solutions 038 – Optional Quiz StepbyStep Solutions 039 – What is a Polynomial 042 – Optional Practice Test StepbyStep Solutions 043 – Optional Quiz StepbyStep Solutions 044 – Adding and Subtracting Polynomials 047 – Optional Practice Test StepbyStep Solutions 048 – Optional Quiz StepbyStep Solutions 049 – Multiplying Polynomials 052 – Optional Practice Test StepbyStep Solutions 053 – Optional Quiz StepbyStep Solutions 054 – Special Polynomial Products 057 – Optional Practice Test StepbyStep Solutions 058 – Optional Quiz StepbyStep Solutions 059 – Dividing Polynomials 062 – Optional Practice Test StepbyStep Solutions 063 – Optional Quiz StepbyStep Solutions 064 – Synthetic Division 067 – Optional Practice Test StepbyStep Solutions 068 – Optional Quiz StepbyStep Solutions 069 – Optional Quiz StepbyStep Solutions 070 – Factoring Out the Greatest Common Factor GCF 073 – Optional Practice Test StepbyStep Solutions 074 – Optional Quiz StepbyStep Solutions 075 – Factoring by Grouping 078 – Optional Practice Test StepbyStep Solutions 079 – Optional Quiz StepbyStep Solutions 080 – Factoring Trinomials when the Leading Coefficient is 001 083 – Optional Practice Test StepbyStep Solutions 084 – Optional Quiz StepbyStep Solutions 085 – Factoring Trinomials using the AC Method 088 – Optional Practice Test StepbyStep Solutions 089 – Optional Quiz StepbyStep Solutions 090 – Factoring Trinomials using Reverse FOIL Trial and Error 093 – Optional Practice Test StepbyStep Solutions 094 – Optional Quiz StepbyStep Solutions 095 – Special Factoring 098 – Optional Practice Test StepbyStep Solutions 099 – Optional Quiz StepbyStep Solutions 100 – Factoring by Substitution 103 – Optional Practice Test StepbyStep Solutions 104 – Optional Quiz StepbyStep Solutions 105 – Optional Quiz StepbyStep Solutions

106 – Finding the Restricted Values for a Rational Expression 109 – Optional Practice Test StepbyStep Solutions 110 – Optional Quiz StepbyStep Solutions 111 – Simplifying Rational Expressions 114 – Optional Practice Test StepbyStep Solutions 115 – Optional Quiz StepbyStep Solutions 116 – Multiplying and Dividing Rational Expressions 119 – Optional Practice Test StepbyStep Solutions 120 – Optional Quiz StepbyStep Solutions 121 – Finding the LCD for Rational Expressions 124 – Optional Practice Test StepbyStep Solutions 125 – Optional Quiz StepbyStep Solutions 126 – Adding and Subtracting Rational Expressions 129 – Optional Practice Test StepbyStep Solutions 130 – Optional Quiz StepbyStep Solutions 131 – Complex Rational Expressions 133 – Optional Practice Test StepbyStep Solutions 134 – Optional Quiz StepbyStep Solutions 135 – Optional Quiz StepbyStep Solutions

136 – Negative Exponents and the Quotient Rule 139 – Optional Practice Test StepbyStep Solutions 140 – Optional Quiz StepbyStep Solutions 141 – Rational Exponents Fractional Exponents 144 – Optional Practice Test StepbyStep Solutions 145 – Optional Quiz StepbyStep Solutions 146 – Radical Expressions 149 – Optional Practice Test StepbyStep Solutions 150 – Optional Quiz StepbyStep Solutions 151 – Simplifying Radical Expressions 154 – Optional Practice Test StepbyStep Solutions 155 – Optional Quiz StepbyStep Solutions 156 – Operations with Radical Expressions Adding Subtracting Multiplying 157 – Optional Practice Test StepbyStep Solutions 158 – Optional Quiz StepbyStep Solutions 159 – Rationalizing Denominators 160 – Optional Practice Test StepbyStep Solutions 161 – Optional Quiz StepbyStep Solutions 162 – Optional Quiz StepbyStep Solutions

163 – The Addition Property of Equality 164 – Optional Practice Test StepbyStep Solutions 165 – Optional Quiz StepbyStep Solutions 166 – The Multiplication Property of Equality 167 – Optional Practice Test StepbyStep Solutions 168 – Optional Quiz StepbyStep Solutions 169 – Solving Linear Equations in One Variable 170 – Optional Practice Test StepbyStep Solutions 171 – Optional Quiz StepbyStep Solutions 172 – Solving Linear Equations with Fractions or Decimals 173 – Optional Practice Test StepbyStep Solutions 174 – Optional Quiz StepbyStep Solutions 175 – Repeating Decimal to Fraction 176 – Optional Practice Test StepbyStep Solutions 177 – Optional Quiz StepbyStep Solutions 178 – Identifying Types of Equations 179 – Optional Practice Test StepbyStep Solutions 180 – Optional Quiz StepbyStep Solutions 181 – Solving Proportion Equations 182 – Optional Practice Test StepbyStep Solutions 183 – Optional Quiz StepbyStep Solutions 184 – Solving Literal Equations 185 – Optional Practice Test StepbyStep Solutions 186 – Optional Quiz StepbyStep Solutions 187 – Solving Linear Inequalities in One Variable 188 – Optional Practice Test StepbyStep Solutions 189 – Optional Quiz StepbyStep Solutions 190 – Solving a ThreePart Inequality in One Variable 191 – Optional Practice Test StepbyStep Solutions 192 – Optional Quiz StepbyStep Solutions 193 – Solving Compound Inequalities with and or or 194 – Optional Practice Test StepbyStep Solutions 195 – Optional Quiz StepbyStep Solutions 196 – Solving Absolute Value Equations I 197 – Optional Practice Test StepbyStep Solutions 198 – Optional Quiz StepbyStep Solutions 199 – Solving Absolute Value Inequalities I 200 – Optional Practice Test StepbyStep Solutions 201 – Optional Quiz StepbyStep Solutions 202 – Optional Quiz StepbyStep Solutions

203 – Translating Phrases into Algebraic Expressions and Equations 204 – Optional Practice Test StepbyStep Solutions 205 – Optional Quiz StepbyStep Solutions 206 – Consecutive Integer Word Problems 207 – Optional Practice Test StepbyStep Solutions 208 – Optional Quiz StepbyStep Solutions 209 – Age Word Problems 210 – Optional Practice Test StepbyStep Solutions 211 – Optional Quiz StepbyStep Solutions 212 – Motion Word Problems 213 – Optional Practice Test StepbyStep Solutions 214 – Optional Quiz StepbyStep Solutions 215 – Mixture Word Problems 216 – Optional Practice Test StepbyStep Solutions 217 – Optional Quiz StepbyStep Solutions 218 – Money Word Problems 219 – Optional Practice Test StepbyStep Solutions 220 – Optional Quiz StepbyStep Solutions 221 – Simple Interest Word Problems 222 – Optional Practice Test StepbyStep Solutions 223 – Optional Quiz StepbyStep Solutions 224 – Percent Word Problems 225 – Optional Practice Test StepbyStep Solutions 226 – Optional Quiz StepbyStep Solutions 227 – Optional Quiz StepbyStep Solutions

228 – The Imaginary Unit i 229 – Optional Practice Test StepbyStep Solutions 230 – Optional Quiz StepbyStep Solutions 231 – Operations with Complex Numbers Adding Subtracting Multiplying Dividing 232 – Optional Practice Test StepbyStep Solutions 233 – Optional Quiz StepbyStep Solutions 234 – Simplifying Powers of i 235 – Optional Practice Test StepbyStep Solutions 236 – Optional Quiz StepbyStep Solutions 237 – Solving Quadratic Equations by Factoring 238 – Optional Practice Test StepbyStep Solutions 239 – Optional Quiz StepbyStep Solutions 240 – The Square Root Property 241 – Optional Practice Test StepbyStep Solutions 242 – Optional Quiz StepbyStep Solutions 243 – Completing the Square 244 – Optional Practice Test StepbyStep Solutions 245 – Optional Quiz StepbyStep Solutions 246 – The Quadratic Formula 247 – Optional Practice Test StepbyStep Solutions 248 – Optional Quiz StepbyStep Solutions 249 – Quadratic in Form 250 – Optional Practice Test StepbyStep Solutions 251 – Optional Quiz StepbyStep Solutions 252 – Applications of Quadratic Equations 253 – Optional Practice Test StepbyStep Solutions 254 – Optional Quiz StepbyStep Solutions 255 – Solving Quadratic Inequalities 256 – Optional Practice Test StepbyStep Solutions 257 – Optional Quiz StepbyStep Solutions 258 – Optional Quiz StepbyStep Solutions

259 – Solving Radical Equations I 260 – Optional Practice Test StepbyStep Solutions 261 – Optional Quiz StepbyStep Solutions 262 – Solving Radical Equations II 263 – Optional Practice Test StepbyStep Solutions 264 – Optional Quiz StepbyStep Solutions 265 – Solving Radical Inequalities I 266 – Optional Practice Test StepbyStep Solutions 267 – Optional Quiz StepbyStep Solutions 268 – Solving Radical Inequalities II 269 – Optional Practice Test StepbyStep Solutions 270 – Optional Quiz StepbyStep Solutions 271 – Solving Rational Equations 272 – Optional Practice Test StepbyStep Solutions 273 – Optional Quiz StepbyStep Solutions 274 – Solving Rational Inequalities 275 – Optional Practice Test StepbyStep Solutions 276 – Optional Quiz StepbyStep Solutions 277 – Applications of Rational Equations 278 – Optional Practice Test StepbyStep Solutions 279 – Optional Quiz StepbyStep Solutions 280 – Optional Quiz StepbyStep Solutions

281 – Absolute Value Equations II 282 – Optional Practice Test StepbyStep Solutions 283 – Optional Quiz StepbyStep Solutions 284 – Absolute Value Equations III 285 – Optional Practice Test StepbyStep Solutions 286 – Optional Quiz StepbyStep Solutions 287 – Absolute Value Inequalities II 288 – Optional Practice Test StepbyStep Solutions 289 – Optional Quiz StepbyStep Solutions 290 – Optional Quiz StepbyStep Solutions

291 – The Rectangular Coordinate System 293 – Distance between Two Points Distance Formula 295 – Determining Whether Three Points are the Vertices of a Right Triangle 297 – Determining Whether Three Points are Collinear 299 – The Midpoint Formula 301 – Plotting Complex Numbers 303 – Absolute Value of a Complex Number 305 – Distance and Midpoint Formulas in the Complex Plane 307 – Graphing Circles 309 – Relations and Functions 311 – Domain and Range 313 – Vertical Line Test 315 – Function Notation 317 – Graphing Linear Functions 319 – Finding the Slope of a Line 321 – Equations of Lines 323 – Parallel and Perpendicular Lines 325 – Graphs of Basic Functions 327 – Piecewise Functions 329 – Increasing Decreasing and Constant Functions 331 – Graphing Techniques Shrinking and Stretching 333 – Graphing Techniques Reflecting 335 – Even and Odd Functions 337 – Graphing Techniques Translations Horizontal and Vertical Shifts 339 – Operations on Functions 341 – The Difference Quotient 343 – Composition of Functions

345 – Finding the Vertex Form of a Parabola 347 – Graphing Parabolas 349 – The Remainder Theorem 351 – The Factor Theorem 353 – The Rational Zeros Theorem 355 – Fundamental Theorem of Algebra Writing Polynomial Functions 357 – Conjugate Zeros Theorem 359 – Descartes Rule of Signs 361 – Intermediate Value and Boundedness Theorems 363 – Finding the Zeros of a Polynomial Function

365 – OnetoOne Functions and the Horizontal Line Test 367 – OnetoOne Functions Algebraic Method 369 – How to Find the Inverse of a OnetoOne Function 371 – How to Determine if Two Functions are Inverses Using Composition 373 – How to Find the Inverse of a Domain Restricted Function 375 – Graphing Exponential Functions 377 – How to Solve Exponential Equations with Like Bases 379 – Compound Interest Word Problems 381 – Continuous Compound Interest Word Problems 383 – Introduction to Logarithms 385 – Properties of Logarithms Condensing and Expanding 387 – Special Properties of Logarithms Inverse of ExponentialLogarithmic Function 389 – Change of Base Formula 391 – Solving Exponential Equations Using Logarithms 393 – Solving Logarithmic Equations

395 – Solving Linear Systems in Two Variables 397 – Solving Linear Systems in Three Variables 399 – Finding the Equation of a Parabola Given Three Points 401 – Applications of Linear Systems 403 – Partial Fraction Decomposition with Linear Factors 405 – Partial Fraction Decomposition with Quadratic Factors 407 – GaussJordan Elimination TwoVariable System 409 – GaussJordan Elimination ThreeVariable System 411 – GaussJordan Elimination FourVariable System 413 – Introduction to Matrices 415 – Adding and Subtracting Matrices 417 – Multiplying a Matrix by a Scalar 419 – Multiplying Matrices 421 – Finding the Inverse of a Matrix 423 – Solving Linear Systems using Inverse Matrices 425 – Finding the Determinant of an n x n Matrix 427 – Upper Triangular Form Determinant 429 – Finding the Transpose of a Matrix 431 – Finding the Adjoint of a Matrix 433 – Finding the Inverse of a Matrix using the Determinant and Adjoint 435 – Cramers Rule 2 x 2 System 437 – Cramers Rule 3 x 3 System 439 – Determinants Area of a Triangle 441 – Determinants Test for Collinearity 443 – Determinants Equation of a Line

445 – Graphing Sideways Parabolas 447 – Conic Sections The Parabola 449 – Conic Sections The Ellipse 451 – Conic Sections The Hyperbola 453 – Solving Nonlinear Systems of Equations 455 – Solving Systems of Linear and Nonlinear Inequalities

457 – Sequences 459 – Series 461 – Arithmetic Sequences and Series 463 – Geometric Sequences and Series

465 – The Binomial Theorem 467 – Counting Theory 469 – The Basics of Probability 471 – Sets Part 1 473 – Sets Part 2

475 – Angles in Trigonometry 476 – Optional Practice TestQuiz Full StepbyStep Solutions 477 – Degrees Minutes and Seconds 478 – Optional Practice TestQuiz Full StepbyStep Solutions 479 – Coterminal Angles 480 – Optional Practice TestQuiz Full StepbyStep Solutions 481 – Angle Relationships and Similar Triangles 483 – Finding Trigonometric Function Values of an Angle 485 – Reciprocal Identities and finding Missing Trigonometric Function Values 487 – Pythagorean and Quotient Identities

489 – Trigonometric Functions of Acute Angles 491 – Trigonometric Functions of NonAcute Angles 493 – Finding Trigonometric Function Values Using a Calculator 495 – Solving Right Triangles

497 – Radian Measure 499 – Finding the Arc Length on a Circle 501 – The Unit Circle & Circular Functions 503 – Linear & Angular Speed

505 – Graphing Sine & Cosine

507 – Fundamental Identities 509 – Verifying Trigonometric Identities 511 – Sum & Difference Identities for Cosine 513 – Sum & Difference Identities for Sine and Tangent 515 – DoubleAngle ProducttoSum & SumtoProduct Identities 517 – HalfAngle Identities

519 – Inverse Circular Functions 521 – Solving Trigonometric Equations Using Linear Methods 523 – Solving Trigonometric Equations Using Factoring 525 – Solving Trigonometric Equations Using Square Roots Squaring & Identities 527 – Solving Trigonometric Equations with HalfAngles 529 – Solving Trigonometric Equations with Multiple Angles 531 – Solving Trigonometric Equations Using Inverse Trigonometric Functions

533 – Law of Sines Part 1 SAA and ASA 535 – Law of Sines Part 2 SSA Ambiguous Case 537 – Law of Cosines SAS and SSS Herons Formula

539 – Vectors Part 1 Component Form Magnitude & Direction Angle 541 – Vectors Part 2 Adding Vectors & Multiplying by a Scalar 543 – Vectors Part 3 The Dot Product & Angle Between Vectors

545 – Review of Complex Numbers Optional 547 – Polar Form of Complex Numbers Adding Complex Numbers Graphically 549 – Product and Quotient Theorems 551 – De Moivres Theorem Powers and Roots of Complex Numbers

553 – Polar Coordinates 555 – Distance Between Polar Points 557 – Polar Form of a Line 559 – Circles in Polar Form 561 – Analytic Geometry Lines

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