Linear Equations Quiz
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Questions and Answers

What is the standard form of a linear equation?

  • $a_{1}x_{1}+...+a_{n}x_{n}+b=1$
  • $a_{1}x_{1}+...+a_{n}x_{n}+b=0$ (correct)
  • $a_{1}x_{1}+...+a_{n}x_{n}=b$
  • $x_{1}+...+x_{n}=b$
  • What are the solutions of a linear equation?

  • Values that make the coefficient equal to 1
  • Values that do not contain any of the variables
  • Values that result in a negative coefficient
  • Values that satisfy the equation when substituted for the unknowns (correct)
  • When is there exactly one solution in the case of just one variable?

  • When the coefficient $a_1$ is equal to 0
  • When the coefficient $a_1$ is greater than 0 (correct)
  • When the coefficient $a_1$ is less than 0
  • When the coefficient $a_1$ is not a real number
  • What does each solution of a linear equation in two variables represent?

    <p>The Cartesian coordinates of a point in the Euclidean plane</p> Signup and view all the answers

    How can the solutions of a linear equation be visualized in the Euclidean plane?

    <p>As a line</p> Signup and view all the answers

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