Problem Solving


When solving a problem, pay close attention to what it is you are interested in finding. In order to solve a problem, you may need to determine a specific \(x\)- or \(y\)-value, the root(s), a maximum, a minimum, the domain, the range, \(x\)-intercept(s), or \(y\)-intercept. Understanding what is needed within a given context is a key step to solving the problem.

All problems are different; however, here are some strategies that may help you solve problems.

  • draw a diagram that represents the scenario
  • write an equation or a function that represents the scenario
  • list the information given in the problem
  • assign variables to unknown values if they are not already stated
  • formulate a strategy to determine the unknown(s)
  • verify and/or use reasoning to confirm the solution is reasonable