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Precalculus » G. Systems of Equations and Inequalities

  • G.1. Systems of Equations

    1. G.1.M. Play Multiplayer 0 wins, 0 losses

    2. G.1.Q. Unit Challenge

    3. G.1.1. Solving Two-Variable Linear Systems

      1. G.1.1.O. Overview
      2. G.1.1.1. Determine whether the ordered pair is a solution of the system of linear equations
      3. G.1.1.2. Solve a system using the elimination method
      4. G.1.1.3. Solve a system using the substitution method
      5. G.1.1.4. Solve a linear system by graphing
      6. G.1.1.5. Word Problems – Airplane Speed
      7. G.1.1.6. Word Problems – Supply and Demand

    4. G.1.2. Solving Multivariable Linear Systems

      1. G.1.2.O. Overview
      2. G.1.2.1. Determine whether the ordered triple is a solution of the system of equations
      3. G.1.2.2. Solve a system using back substitution
      4. G.1.2.3. Solve a system using the elimination method
      5. G.1.2.4. Solve a system with fewer equations than variables
      6. G.1.2.5. Word Problems – Vertical Motion
      7. G.1.2.6. Word Problems – Investment Analysis

    5. G.1.3. Solving Nonlinear Systems of Equations

      1. G.1.3.1. Determine whether each ordered pair is a solution of the system of equations
      2. G.1.3.2. Solve a system of equations using substitution
      3. G.1.3.3. Solve a system of equations graphically using a graphing calculator
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  • G.2. Partial Fractions

    1. G.2.M. Play Multiplayer 0 wins, 0 losses

    2. G.2.Q. Unit Challenge

    3. G.2.1. Write the partial fraction decomposition for a rational expression

      1. G.2.1.O. Overview
      2. G.2.1.1. Partial fraction decomposition of distinct linear factors
      3. G.2.1.2. Partial fraction decomposition of repeated linear factors
      4. G.2.1.3. Partial fraction decomposition of distinct quadratic factors
      5. G.2.1.4. Partial fraction decomposition of repeated quadratic factors

    4. G.2.2. Write the partial fraction decomposition for improper rational expressions

      1. G.2.2.O. Overview
      2. G.2.2.1. Partial fraction decomposition of improper rational expressions
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  • G.3. Systems of Inequalities

    1. G.3.M. Play Multiplayer 0 wins, 0 losses

    2. G.3.Q. Unit Challenge

    3. G.3.1. Solving systems of inequalities

      1. G.3.1.O. Overview
      2. G.3.1.1. Graph the inequality
      3. G.3.1.2. Tell whether the point is a solution to the system of inequalities
      4. G.3.1.3. Solve the system of inequalities
      5. G.3.1.4. Word Problems – Find the consumer and producer surplus

    4. G.3.2. Linear Programming

      1. G.3.2.O. Overview
      2. G.3.2.1. Find the maximum and minimum values of the objective function given a set of constraints
      3. G.3.2.2. Find the minimum or maximum value when the region is unbounded
      4. G.3.2.3. Word Problems – Optimal Profit or Cost
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