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Chapter 4: Systems of equations and inequalities in two variables

Mathematical concepts and processes

• Modeling and representation of a situation using a straight line
  • Equation in the form Ax+By = 0
  • Equation following the form y = ax+b
  • The functional notation of the equations: f(x) = ax+b
  • Calculation with functional notation: f(x) = ax+b
• The line is the representation of the solution-set of a first-degree equation in two variables
  • Find the solution set of a system of first degree equations in two variables
  • Find the couple-solution of a system of equations by the method of the table of values
  • Find the couple-solution of a system of equations thanks to a point of intersection in a Cartesian plane
  • Find the couple-solution of a system of equations by the method of comparison
  • Find the couple-solution of a system of equations by the method of substitution
  • Find the couple-solution of a system of equations by the method of reduction
• Writing a system of first degree equations in two variables
• Parallel lines, coincident lines and secant lines
  • Distinct parallel lines
  • Combined parallel lines
  • Secant lines
• Comparison and modeling representing a straight line, and decision making

Content

• Mathematical recap
• My math tools
• Competence situations
• Flash drills
• Deepening of knowledge
• Answer keys
• Interactive PDFs
• Downloadable digital content

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