Section 6.6: Algebra in Problem Solving

6.6 Outline

  1. Introduction to problem solving
    1. principle of substitution
    2. procedure
    3. translating
      1. sum
      2. difference
      3. product
      4. quotient
  2. Number relationships
    1. formulate an equation
    2. consecutive integers
  3. Distance relationships
  4. Pythagorean relationships
    1. If two sides of a right triangle are know, the third can be found
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Section 6.4: Equations

6.4 Outline
  1. Terminology
    1. equation
      1. true
      2. false
      3. open
    2. satisfy
      1. root
      2. solution
      3. solve – this is the last of four main processes in algebra
    3. equivalent equations
    4. types
      1. linear equations
      2. quadratic equations
  2. Linear equations
    1. equation properties
      1. addition property
      2. subtraction property
      3. multiplication property
      4. division

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