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Algebra II » C. Linear Systems and Matrices

  • C.1. Solving Linear Systems by Graphing

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

    2. C.1.Q. Unit Challenge

    3. C.1.1. Classifying Systems

      1. C.1.1.O. Overview
      2. C.1.1.1. Identifying the Number of Solutions of a System Given a Graph
      3. C.1.1.2. Classifying the System as Consistent or Inconsistent Given a Graph

    4. C.1.2. Solving Systems with One Solution by Graphing

      1. C.1.2.O. Overview
      2. C.1.2.1. Solving Systems with One Solution by Graphing Given Slope-Intercept Form
      3. C.1.2.2. Solving Systems with One Solution by Graphing Given Standard Form

    5. C.1.3. Solving Systems with No Solutions by Graphing

      1. C.1.3.O. Overview
      2. C.1.3.1. Solving Systems with No Solutions by Graphing Given Slope-Intercept Form
      3. C.1.3.2. Solving Systems with One Solution by Graphing Given Standard Form

    6. C.1.4. Solving Systems with Infinite Solutions by Graphing

      1. C.1.4.O. Overview
      2. C.1.4.1. Solving Systems with Infinite Solutions by Graphing Given Slope-Intercept Form
      3. C.1.4.2. Solving Systems with Infinite Solutions by Graphing Given Standard Form

    7. C.1.5. Writing and Solving Systems Given Word Problems

      1. C.1.5.O. Overview
      2. C.1.5.1. Writing Systems of Equations Given Word Problems
      3. C.1.5.2. Writing and Solving Systems by Graphing Given Word Problems
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  • C.2. Solving Linear Systems Algebraically

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

    2. C.2.Q. Unit Challenge

    3. C.2.1. Solving Systems Using Substitution

      1. C.2.1.O. Overview
      2. C.2.1.1. Solving Systems Using Substitution with Integers
      3. C.2.1.2. Solving Systems Using Substitution with Decimals
      4. C.2.1.3. Solving Systems Using Substitution with Fractions

    4. C.2.2. Solving Systems Using Elimination

      1. C.2.2.O. Overview
      2. C.2.2.1. Solving Systems Using Elimination with Integers
      3. C.2.2.2. Solving Systems Using Elimination with Decimals
      4. C.2.2.3. Solving Systems Using Elimination with Fractions

    5. C.2.3. Solving Systems with No Solutions

      1. C.2.3.O. Overview
      2. C.2.3.1. Solving Systems with No Solutions by Substitution
      3. C.2.3.2. Solving Systems with No Solutions by Elimination

    6. C.2.4. Solving Systems with Infinite Solutions

      1. C.2.4.O. Overview
      2. C.2.4.1. Solving Systems with Infinite Solutions by Substitution
      3. C.2.4.2. Solving Systems with Infinite Solutions by Elimination

    7. C.2.5. Writing and Solving Systems of Equations

      1. C.2.5.O. Overview
      2. C.2.5.1. Writing and Solving Systems of Equations Given Word Problems
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  • C.3. Graphing Systems of Linear Inequalities

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

    2. C.3.Q. Unit Challenge

    3. C.3.1. Graphing Systems of Two Linear Inequalities

      1. C.3.1.O. Overview
      2. C.3.1.1. Graphing the Solution Set for a System of Two Linear Inequalities
      3. C.3.1.2. Graphing No Solution for a System of Two Linear Inequalities

    4. C.3.2. Graphing Systems Involving Absolute Value Inequalities

      1. C.3.2.O. Overview
      2. C.3.2.1. Graphing the Solution Set for a System Involving Absolute Value Inequalities
      3. C.3.2.2. Graphing No Solution for a System Involving Absolute Value Inequalities

    5. C.3.3. Writing and Solving Problems Involving Systems of Linear Inequalities

      1. C.3.3.O. Overview
      2. C.3.3.1. Writing a System of Linear Inequalities Given a Word Problem
      3. C.3.3.2. Writing and Solving a System of Linear Inequalities Given a Word Problem
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  • C.4. Solving Systems of Linear Equations in Three Variables

    1. C.4.M. Play Multiplayer 0 wins, 0 losses

    2. C.4.Q. Unit Challenge

    3. C.4.1. Solving Systems in Three Variables Using Elimination

      1. C.4.1.O. Overview
      2. C.4.1.1. Solving Systems in Three Variables Using Elimination with One Solution
      3. C.4.1.2. Solving Systems in Three Variables Using Elimination with No Solutions
      4. C.4.1.3. Solving Systems in Three Variables Using Elimination with Infinite Solutions

    4. C.4.2. Solving Systems in Three Variables Using Substitution

      1. C.4.2.O. Overview
      2. C.4.2.1. Solving Systems in Three Variables Using Substitution with One Solution
      3. C.4.2.2. Solving Systems in Three Variables Using Substitution with No Solutions
      4. C.4.2.3. Solving Systems in Three Variables Using Substitution with Infinite Solutions

    5. C.4.3. Writing and Solving Problems Involving Systems in Three Variables

      1. C.4.3.O. Overview
      2. C.4.3.1. Writing and Solving Systems in Three Variables Given a Word Problem
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  • C.5. Applying Basic Matrix Operations

    1. C.5.M. Play Multiplayer 0 wins, 0 losses

    2. C.5.Q. Unit Challenge

    3. C.5.1. Adding Matrices

      1. C.5.1.1. Adding Two Matrices

    4. C.5.2. Subtracting Matrices

      1. C.5.2.1. Subtracting Two Matrices

    5. C.5.3. Multiplying Matrices and Scalars

      1. C.5.3.O. Overview
      2. C.5.3.1. Multiplying Matrices with Scalars

    6. C.5.4. Solving Matrix Equations Involving Variables

      1. C.5.4.O. Overview
      2. C.5.4.1. Solving Matrix Equations with One Variable
      3. C.5.4.2. Solving Matrix Equations with Two Variables

    7. C.5.5. Solving Word Problems Involving Matrices

      1. C.5.5.O. Overview
      2. C.5.5.1. Solving Word Problems Using Matrix Operations
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  • C.6. Multiplying Matrices

    1. C.6.M. Play Multiplayer 0 wins, 0 losses

    2. C.6.Q. Unit Challenge

    3. C.6.1. Dimensions of Matrices

      1. C.6.1.O. Overview
      2. C.6.1.1. Determining the Dimensions of a Product Matrix

    4. C.6.2. Products of Two Matrices

      1. C.6.2.O. Overview
      2. C.6.2.1. Finding the Products of Two Matrices

    5. C.6.3. Expressions with Multiple Matrices

      1. C.6.3.O. Overview
      2. C.6.3.1. Evaluating Expressions Given Multiple Matrices

    6. C.6.4. Total Cost and Matrices

      1. C.6.4.O. Overview
      2. C.6.4.1. Evaluating Total Cost Using a Matrix and Solving Word Problems Using Matrices

    7. C.6.5. Matrix Equations

      1. C.6.5.O. Overview
      2. C.6.5.1. Solving Matrix Equations with One Variable
      3. C.6.5.2. Solving Matrix Equations with Two Variables
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  • C.7. Determinants and Cramer’s Rule

    1. C.7.M. Play Multiplayer 0 wins, 0 losses

    2. C.7.Q. Unit Challenge

    3. C.7.1. Determinants

      1. C.7.1.O. Overview
      2. C.7.1.1. Finding Determinants Given a Matrix
      3. C.7.1.2. Using Determinants to Find Areas of Triangles

    4. C.7.2. Cramer’s Rule

      1. C.7.2.O. Overview
      2. C.7.2.1. Solving 2 × 2 Systems Using Cramer’s Rule
      3. C.7.2.2. Solving 3 × 3 Systems Using Cramer’s Rule
      4. C.7.2.3. Solving Word Problems Using Cramer’s Rule
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  • C.8. Inverse Matrices and Solving Linear Systems

    1. C.8.M. Play Multiplayer 0 wins, 0 losses

    2. C.8.Q. Unit Challenge

    3. C.8.1. Inverse Matrices

      1. C.8.1.O. Overview
      2. C.8.1.1. Finding the Inverse of 2 × 2 Matrices
      3. C.8.1.2. Solving Matrix Equations Using Inverse Matrices

    4. C.8.2. Solving Linear Systems

      1. C.8.2.O. Overview
      2. C.8.2.1. Solving Linear Systems Using Inverse Matrices
      3. C.8.2.2. Solving Word Problems Involving Systems by Using Matrices
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