Unit 2: Linear Equations, Inequalities, Functions, and Systems 234
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Chapter 4: Quadratic Functions and Factoring 234
Prerequisite Skills 234
4.1 Graph Quadratic Functions in Standard Form 236
Graphing Calculator Activity: Find Maximum and Minimum Values 244
4.2 Graph Quadratic Functions in Vertex or Intercept Form 245
4.3 Solve
x² + bx + c =
0 by Factoring
4.4 Solve
ax² + bx + c =
0 by Factoring
Assessment: Quiz for Lessons 4.1-4.4 265
4.5 Solve Quadratic Equations by Finding Square Roots 266
Problem Solving Workshop 272
Mixed Review for TEKS 274
4.6 Perform Operations with Complex Numbers 275
4.7 Complete the Square 284
Investigating Algebra: Using Algebra Tiles to Complete the Square 283
Assessment: Quiz for Lessons 4.5-4.7 291
4.8 Use the Quadratic Formula and the Discriminant 292
4.9 Graph and Solve Quadratic Inequalities 300
4.10 Write Quadratic Functions and Models 309
Investigating Algebra: Modeling Data with a Quadratic Function 308
Assessment: Quiz for Lessons 4.8-4.10 315
Mixed Review for TEKS 316
Assessment: Chapter Summary and Review 317
Assessment:Chapter Test 323
Assessment: TAKS Preparation and Practice 324
Chapter 5: Polynomials and Polynomial Functions 328
Prerequisite Skills 328
5.1 Use Properties of Exponents 330
5.2 Evaluate and Graph Polynomial Functions 337
Investigating Algebra: End Behavior of Polynomial Functions 336
Graphing Calculator Activity: Set a Good Viewing Window 345
5.3 Add, Subtract, and Multiply Polynomials 346
Assessment: Quiz for Lessons 5.1-5.3 352
5.4 Factor and Solve Polynomial Equations 353
Problem Solving Workshop 360
5.5 Apply the Remainder and Factor Theorems 362
Mixed Review for TEKS 369
5.6 Find Rational Zeros 370
Assessment: Quiz for Lessons 5.4-5.6 377
Spreadsheet Activity: Use the Location Principle 378
5.7 Apply the Fundamental Theorem of Algebra 379
5.8 Analyze Graphs of Polynomial Functions 387
5.9 Write Polynomial Functions and Models 393
Assessment: Quiz for Lessons 5.7-5.9 399
Mixed Review for TEKS 400
Assessment: Chapter Summary and Review 401
Assessment:Chapter Test 407
Assessment: TAKS Preparation and Practice 408
Chapter 6: Rational Exponents and Radical Functions 412
Prerequisite Skills 412
6.1 Evaluate nth Roots and Use Rational Exponents 414
6.2 Apply Properties of Rational Exponents 420
Assessment: Quiz for Lessons 6.1-6.2 427
6.3 Perform Function Operations and Composition 428
Graphing Calculator Activity: Use Operations with Functions 435
Mixed Review for TEKS 436
6.4 Use Inverse Functions 438
Investigating Algebra: Exploring Inverse Functions 437
Assessment: Quiz for Lessons 6.3-6.4 445
6.5 Graph Square Root and Cube Root Functions 446
6.6 Solve Radical Equations 452
Assessment: Quiz for Lesons 6.5-6.6 459
Problem Solving Workshop 460
Mixed Review for TEKS 464
Assessment: Chapter Summary and Review 465
Assessment: Chapter Test 469
Assessment: TAKS Preparation and Practice 470
Assessment: Cumulative Review, Chapters 1-6 474