MA19.8A.22

Mathematics (2019) Grade(s): 8 - Grade 8 Accelerated

MA19.8A.22

Solve systems consisting of linear and/or quadratic equations in two variables graphically, using technology where appropriate. [Algebra I with Probability, 18]

Unpacked Content

Knowledge

Students know:
  • The conditions under which a linear equation and a quadratic equation have 0, 1, or 2 solutions.
  • Techniques for producing and interpreting graphs of linear and quadratic equations.
  • Appropriate use of properties of equality.

Skills

Students are able to:
  • Graph linear and quadratic equations precisely and interpret the results.
  • Use technology to graph systems of equations.

Understanding

Students understand that:
  • Solutions of a system of equations is the set of all ordered pairs that make both equations true simultaneously.
  • A system consisting of a linear equation and a quadratic equation will have 0, 1, or 2 solutions.

Vocabulary

  • Solving systems of equations
  • System of equations
  • Cartesian plane
  • Substitution
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