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Algebra I » L. Rational Equations and Functions

  • L.1. Modeling Direct Variation

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

    2. L.1.Q. Unit Challenge

    3. L.1.1. Identifying Direct Variation Equations

      1. L.1.1.O. Overview
      2. L.1.1.1. Identifying Direct Variation Equations Given a Set of Literal Equations
      3. L.1.1.2. Identifying Direct Variation Equations Given a Set of Graphs

    4. L.1.2. Writing Direct Variation Equations

      1. L.1.2.O. Overview
      2. L.1.2.1. Writing Direct Variation Equations Given One Point

    5. L.1.3. Applying Direct Variation

      1. L.1.3.O. Overview
      2. L.1.3.1. Solving Word Problems Involving Direct Variation
      3. L.1.3.2. Using Ratios to Identify Direct Variations
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  • L.2. Modeling Inverse Variation

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

    2. L.2.Q. Unit Challenge

    3. L.2.1. Identifying Inverse Variation Equations

      1. L.2.1.O. Overview
      2. L.2.1.1. Identifying Inverse Variation Equations Given a Set of Literal Equations
      3. L.2.1.2. Identifying Inverse Variation Equations Given a Set of Graphs

    4. L.2.2. Writing Inverse Variation Equations

      1. L.2.2.O. Overview
      2. L.2.2.1. Graphing Inverse Variation Equations Given the Literal Equation
      3. L.2.2.2. Writing Inverse Variation Equations Given One Point

    5. L.2.3. Applying Inverse Variation

      1. L.2.3.O. Overview
      2. L.2.3.1. Solving Word Problems Involving Inverse Variation
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  • L.3. Graphing Rational Functions

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

    2. L.3.Q. Unit Challenge

    3. L.3.1. Graphing the Parent Rational Function

      1. L.3.1.1. Graphing a Rational Function of the Form y = a/x

    4. L.3.2. Rational Functions of the Form y = 1/x + k

      1. L.3.2.O. Overview
      2. L.3.2.1. Identifying the Domain and Range for y = 1/x + k Rational Functions
      3. L.3.2.2. Graphing y = 1/x + k Rational Functions

    5. L.3.3. Rational Functions of the Form y = 1 / (x – h)

      1. L.3.3.O. Overview
      2. L.3.3.1. Identifying the Domain and Range for y = 1 / (x – h) Rational Functions
      3. L.3.3.2. Graphing y = 1 / (x – h) Rational Functions
      4. L.3.3.3. Graphing Rational Functions of the Form y = {a/(x-h)} + k

    6. L.3.4. Rational Functions of the Form y = {a/(x-h)} + k

      1. L.3.4.O. Overview
      2. L.3.4.1. Identifying the Asymptotes of Rational Functions of the Form y = {a/(x-h)} + k
      3. L.3.4.2. Stating the Domain and Range of Rational Functions of the Form y = {a/(x-h)} + k

    7. L.3.5. Solving Problems Involving Rational Functions

      1. L.3.5.O. Overview
      2. L.3.5.1. Solving Word Problems Involving Rational Functions of the Form y = {a/(x-h)} + k
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  • L.4. Dividing Polynomials

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

    2. L.4.Q. Unit Challenge

    3. L.4.1. Dividing a Polynomial by a Monomial

      1. L.4.1.O. Overview
      2. L.4.1.1. Finding the Quotient of a Polynomial and a Monomial

    4. L.4.2. Dividing a Polynomial by a Binomial

      1. L.4.2.O. Overview
      2. L.4.2.1. Finding the Quotient of a Polynomial and a Binomial (no remainder)
      3. L.4.2.2. Finding the Quotient of a Polynomial and a Binomial (remainder)

    5. L.4.3. Dividing Polynomials by Rewriting First

      1. L.4.3.O. Overview
      2. L.4.3.1. Finding the Quotient of a Polynomial and a Binomial by Rewriting First
      3. L.4.3.2. Finding the Quotient of a Polynomial and a Binomial by Rewriting and Inserting Missing Terms First

    6. L.4.4. Applying Polynomial Division to Rational Functions

      1. L.4.4.O. Overview
      2. L.4.4.1. Rewriting and Graphing a Rational Function Using Polynomial Division
      3. L.4.4.2. Solving Word Problems Involving Polynomial Division and Rational Functions
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  • L.5. Simplifying Rational Expressions

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

    2. L.5.Q. Unit Challenge

    3. L.5.1. Rational Expression Basics

      1. L.5.1.O. Overview
      2. L.5.1.1. Finding Excluded Values of Rational Expressions

    4. L.5.2. Simplifying Rational Expressions

      1. L.5.2.O. Overview
      2. L.5.2.1. Simplifying Rational Expressions by Dividing out Monomials
      3. L.5.2.2. Simplifying Rational Expressions by Dividing out Binomials
      4. L.5.2.3. Simplifying Rational Expressions by Reorganizing Opposites
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  • L.6. Multiplying and Dividing Rational Expressions

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

    2. L.6.Q. Unit Challenge

    3. L.6.1. Multiplying Rational Expressions

      1. L.6.1.O. Overview
      2. L.6.1.1. Multiplying Rational Expressions Involving Monomials
      3. L.6.1.2. Multiplying Rational Expressions Involving Polynomials
      4. L.6.1.3. Multiplying Rational Expressions by a Polynomial

    4. L.6.2. Dividing Rational Expressions

      1. L.6.2.O. Overview
      2. L.6.2.1. Dividing Rational Expressions Involving Monomials
      3. L.6.2.2. Dividing Rational Expressions Involving Polynomials
      4. L.6.2.3. Dividing Rational Expressions by a Polynomial

    5. L.6.3. Solving Problems Involving Multiplying and Dividing Rational Expressions

      1. L.6.3.1. Solving Word Problems Involving Multiplying Rational Expressions
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  • L.7. Adding and Subtracting Rational Expressions

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

    2. L.7.Q. Unit Challenge

    3. L.7.1. Adding Rational Expressions

      1. L.7.1.O. Overview
      2. L.7.1.1. Adding Rational Expressions with Like Denominators
      3. L.7.1.2. Finding Least Common Multiples of Two Polynomials
      4. L.7.1.3. Adding Rational Expressions with Unlike Denominators

    4. L.7.2. Subtracting Rational Expressions

      1. L.7.2.O. Overview
      2. L.7.2.1. Subtracting Rational Expressions with Like Denominators
      3. L.7.2.2. Subtracting Rational Expressions with Unlike Denominators

    5. L.7.3. Solving Problems Involving Rational Expressions

      1. L.7.3.1. Solving Word Problems by Adding Rational Expressions
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  • L.8. Solving Rational Equations

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

    2. L.8.Q. Unit Challenge

    3. L.8.1. Solving Rational Equations by Cross Multiplying

      1. L.8.1.O. Overview
      2. L.8.1.1. Solving Rational Equations by Cross Multiplying Given the Proportion

    4. L.8.2. Solving Rational Equations by Using LCDs

      1. L.8.2.1. Solving Rational Equations with One Solution by Using LCDs
      2. L.8.2.2. Solving Rational Equations with Two Solutions by Using LCDs
      3. L.8.2.3. Solving Rational Equations with Extraneous Solutions by Using LCDs
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