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Study Guides > Intermediate Algebra

Introduction: Problem Solving

What you'll learn to do: develop and use a method for solving mathematical problems

Many real-world applications can be modeled by linear equations. For example, a cell phone package may include a monthly service fee plus an additional charge if you exceed your data plan; a car rental company charges a daily fee plus an amount per mile driven; a restaurant offers a base price for a burrito plus additional charges for extra toppings, like guacamole and sour cream. These are examples of applications we come across every day that are modeled by linear equations. In this section, we will set up and use linear equations to solve such problems. The specific things you'll learn in this section include:
  • Translate words into algebraic expressions and equations
  • Define a process for solving word problems
  • Solve distance, rate, and time problems
  • Solve area, volume, and perimeter problems
  • Solve temperature conversion problems
  • Rearrange formulas to isolate specific variables
  • Identify an unknown given a formula

Learning activities for this outcome include:

  • Read: Set Up a Linear Equation to Solve an Application
  • Self-Check: Set Up a Linear Equation to Solve an Application
  • Read: Solve an Application Using a Formula
  • Self-Check: Solve an Application Using a Formula

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CC licensed content, Original