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Chapter 1

Chapter 1: Equations and Inequalities

  • Linear equations
  • Quadratic equations
  • Radical equations and factorable equations
  • Solving inequalities
  • Equations and inequalities with absolute value
  • Applications (interest, rate, mixture)

Section 1.1: Linear equations

Section 1.2: Quadratic equations

Section 1.3: Radical equations and factorable equations

Section 1.4: Solving inequalities

Section 1.5: Equations and inequalities with absolute value

Section 1.6: Applications (interest, rate, mixture)

Chapter 1 Objectives

You should be able to do the following...

Section 1.1:

  • Solve a linear equation
  • Solve equations leading to linear equations
  • Solve problems modeled by linear equations

Section 1.2:

  • Solve quadratic equation by factoring
  • Solve quadratic equation by completing the square
  • Solve quadratic equation using quadratic formula
  • Solve problems modeled by quadratic equations

Section 1.4:

  • Solve radical equations
  • Solve equations quadratic in form
  • Solve equations by factoring

Section 1.5:

  • Use interval notation
  • Use properties of inequalities
  • Solve inequalities

Section 1.6:

  • Solve equations involving absolute value
  • Solve inequalities involving absolute value

Section 1.7:

  • Translate verbal descriptions into mathematical expressions
  • Solve interest problems
  • Solve mixture problems
  • Solve uniform motion problems


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