Contents. List of Applications. Basic Concepts 1. iii
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1 46891_01_FM_pi_pxviii.QXD 10/1/09 3:25 PM Page iii 1 List of Applications ix Preface xiii Basic Concepts 1 Unit 1A REVIEW OF OPERATIONS WITH WHOLE NUMBERS Review of Basic Operations Order of Operations Area and Volume Formulas Prime Factorization Divisibility 23 Unit 1A: Review 27 Unit 1B REVIEW OF OPERATIONS WITH FRACTIONS Introduction to Fractions Addition and Subtraction of Fractions Multiplication and Division of Fractions The U.S. System of Weights and Measures 53 Unit 1B: Review 56 Unit 1C REVIEW OF OPERATIONS WITH DECIMAL FRACTIONS AND PERCENT Addition and Subtraction of Decimal Fractions Rounding Numbers Multiplication and Division of Decimal Fractions Percent Rate, Base, and Part Powers and Roots Applications Involving Percent: Personal Finance (Optional) 93 Unit 1C: Review 97 Chapter 1: Group Activities 98 Chapter 1: Summary 99 Chapter 1: Review 102 Chapter 1: Test 104 iii C C A E P N iii K/PMS
2 46891_01_FM_pi_pxviii.QXD 10/1/09 3:25 PM Page iv iv Signed Numbers and Powers of Addition of Signed Numbers Subtraction of Signed Numbers Multiplication and Division of Signed Numbers Signed Fractions Powers of Scientific Notation Engineering Notation 131 Chapter 2: Group Activities 134 Chapter 2: Summary 134 Chapter 2: Review 136 Chapter 2: Test 137 Chapter 1-2: Cumulative Review 138 The Metric System Introduction to the Metric System Length Mass and Weight Volume and Area Time, Current, and Other Units Temperature Metric and U.S. Conversion 156 Chapter 3: Group Activities 161 Chapter 3: Summary 161 Chapter 3: Review 162 Chapter 3: Test 163 Measurement Approximate Numbers and Accuracy Precision and Greatest Possible Error The Vernier Caliper The Micrometer Caliper Addition and Subtraction of Measurements Multiplication and Division of Measurements Relative Error and Percent of Error Color Code of Electrical Resistors Reading Scales 204 Chapter 4: Group Activities 213 Chapter 4: Summary 213 Chapter 4: Review 214 Chapter 4: Test 216 Chapter 1-4: Cumulative Review C C A E P N i K/PMS
3 46891_01_FM_pi_pxviii.QXD 10/1/09 3:25 PM Page v v Polynomials: An Introduction to Algebra Fundamental Operations Simplifying Algebraic Expressions Addition and Subtraction of Polynomials Multiplication of Monomials Multiplication of Polynomials Division by a Monomial Division by a Polynomial 236 Chapter 5: Group Activities 239 Chapter 5: Summary 239 Chapter 5: Review 241 Chapter 5: Test 241 Equations and Formulas Equations Equations with Variables in Both Members Equations with Parentheses Equations with Fractions Translating Words into Algebraic Symbols Applications Involving Equations Formulas Substituting Data into Formulas Reciprocal Formulas Using a Calculator 272 Chapter 6: Group Activities 275 Chapter 6: Summary 275 Chapter 6: Review 276 Chapter 6: Test 277 Chapter 1-6: Cumulative Review 278 Ratio and Proportion Ratio Proportion Direct Variation Inverse Variation 295 Chapter 7: Group Activities 299 Chapter 7: Summary 299 Chapter 7: Review 300 Chapter 7: Test C C A E P N K/PMS
4 46891_01_FM_pi_pxviii.QXD 10/1/09 3:25 PM Page vi vi Graphing Linear Equations Linear Equations with Two Variables Graphing Linear Equations The Slope of a Line The Equation of a Line 323 Chapter 8: Group Activities 328 Chapter 8: Summary 329 Chapter 8: Review 330 Chapter 8: Test 331 Chapter 1-8: Cumulative Review 332 Systems of Linear Equations Solving Pairs of Linear Equations by Graphing Solving Pairs of Linear Equations by Addition Solving Pairs of Linear Equations by Substitution Applications Involving Pairs of Linear Equations 347 Chapter 9: Group Activities 353 Chapter 9: Summary 354 Chapter 9: Review 355 Chapter 9: Test 356 Factoring Algebraic Expressions Finding Monomial Factors Finding the Product of Two Binomials Mentally Finding Binomial Factors Special Products Finding Factors of Special Products Factoring General Trinomials 369 Chapter 10: Group Activities 372 Chapter 10: Summary 372 Chapter 10: Review 373 Chapter 10: Test 373 Chapter 1-10: Cumulative Review 374 Quadratic Equations Solving Quadratic Equations by Factoring The Quadratic Formula Applications Involving Quadratic Equations Graphs of Quadratic Equations Imaginary Numbers 390 Chapter 11: Group Activities 393 Chapter 11: Summary 393 Chapter 11: Review 394 Chapter 11: Test C C A E P N i K/PMS
5 46891_01_FM_pi_pxviii.QXD 10/1/09 3:25 PM Page vii vii Geometry Angles and Polygons Quadrilaterals Triangles Similar Polygons Circles Radian Measure Prisms Cylinders Pyramids and Cones Spheres 453 Chapter 12: Group Activities 455 Chapter 12: Summary 456 Chapter 12: Review 460 Chapter 12: Test 462 Chapter 1-12: Cumulative Review 463 Right Triangle Trigonometry Trigonometric Ratios Using Trigonometric Ratios to Find Angles Using Trigonometric Ratios to Find Sides Solving Right Triangles Applications Involving Trigonometric Ratios 476 Chapter 13: Group Activities 484 Chapter 13: Summary 485 Chapter 13: Review 486 Chapter 13: Test 487 Trigonometry with Any Angle Sine and Cosine Graphs Period and Phase Shift Solving Oblique Triangles: Law of Sines Law of Sines: The Ambiguous Case Solving Oblique Triangles: Law of Cosines 509 Chapter 14: Group Activities 514 Chapter 14: Summary 515 Chapter 14: Review 516 Chapter 14: Test 516 Chapter 1-14: Cumulative Review 517 Basic Statistics Bar Graphs Circle Graphs Line Graphs Other Graphs C C A E P N ii K/PMS
6 46891_01_FM_pi_pxviii.QXD 10/1/09 3:25 PM Page viii viii Mean Measurement Other Average Measurements and Percentiles Range and Standard Deviation Grouped Data Standard Deviation for Grouped Data Statistical Process Control Other Graphs for Statistical Data Normal Distribution Probability Independent Events 558 Chapter 15: Group Activities 559 Chapter 15: Summary 560 Chapter 15: Review 562 Chapter 15: Test 563 Binary and Hexadecimal Numbers Introduction to Binary Numbers Addition of Binary Numbers Subtraction of Binary Numbers Multiplication of Binary Numbers Conversion from Decimal to Binary System Conversion from Binary to Decimal System Hexadecimal System Addition and Subtraction of Hexadecimal Numbers Binary to Hexadecimal Conversion Hexadecimal Code for Colors 581 Chapter 16: Group Activities 582 Chapter 16: Summary 583 Chapter 16: Review 584 Chapter 16: Test 584 Chapter 1-16: Cumulative Review 585 Appendixes Appendix A: Tables 587 Table 1: Formulas from Geometry 587 Table 2: Electrical Symbols 589 Appendix B: Exponential Equations 591 Appendix C: Answers to Odd-Numbered Exercises and All Chapter Review and Cumulative Review Exercises C C A E P N iii K/PMS
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Catholic Central High School Course: Basic Algebra 2 Department: Mathematics Length: One year Credit: 1 Prerequisite: Completion of Basic Algebra 1 or Algebra 1, Basic Plane Geometry or Plane Geometry,
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