Alg II Unit 4-9 Solving Quadratic Systems

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Alg II Unit 4-9 Solving Quadratic Systems

  1. 1. 4-9 THE QUADRATIC SYSTEMSChapter 4 Quadratic Functions and Equations©Tentinger
  2. 2. ESSENTIAL UNDERSTANDING ANDOBJECTIVES Essential Understanding: you can solve systems involving quadratic equations using methods similar to the ones used to solve systems of linear equations Objectives: Students will be able to:  Solve and graph systems of linear and quadratic equations  Solve and graph systems of quadratic inequalities
  3. 3. IOWA CORE CURRICULUM Algebra A.CED.3. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities and interpret solutions as viable or non- viable options in a modeling context A.REI.7* Solve a simple system consisting of a linear equation and quadratic equation in two variables algebraically and graphically
  4. 4. LINEAR-QUADRATIC SYSTEM Solutions of Linear Quadratic System A system of one quadratic equation and one linear equation can have two solutions, one solution, or no solution. NEED PICTURES OF EACH
  5. 5. SOLVING A LINEAR-QUADRATIC SYSTEM BYGRAPHING
  6. 6. SOLVING A LINEAR-QUADRATIC SYSTEM BYSUBSTITUTION
  7. 7. SOLVING A QUADRATIC SYSTEM OFEQUATIONS BY SUBSTITUTION
  8. 8. SOLVING A QUADRATIC SYSTEM OFINEQUALITIES
  9. 9. HOMEWORK Pg. 262 – 263 #9 – 51 (3s), 53 - 55

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