Solving Nonlinear Systems with a Quadratic & a Linear Equation


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question 1 of 3

If a system of equations includes a quadratic equation and a linear equation, which of the following is true about the system?

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1. Consider the following non-linear system of equations, which includes a linear and a quadratic equation. What would you do first to solve the system algebraically using substitution?

2. When solving the following system of equations algebraically, what would be the resulting equation? Hint: you already have the solution for y.

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About This Quiz & Worksheet

This quiz and worksheet assess your ability to properly identify and solve non-linear quadratic equations. You'll review quadratic and linear equations and discover how to solve these in systems.

Quiz & Worksheet Goals

The focus of this quiz and worksheet is on providing a review of:

  • Naming systems of equations
  • The steps involved in solving non-linear systems of equations
  • Solving these systems using substitution

Skills Practiced

  • Information recall - review what you know about non-linear systems of equations
  • Knowledge application - revisit what you know about non-linear systems of equations to answer questions on the steps for solving them
  • Problem solving - see if you can correctly solve non-linear systems of equations using substitution

Additional Learning

Need a more detailed refresher? Check out the provided lesson, Solving Nonlinear Systems with a Quadratic & a Linear Equation. It offers more information about:

  • Defining key terms like non-linear system of equations, quadratic equation and linear equation
  • Solving equations by graph
  • Example problems